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Deformations and extensions of modified λ-differential Lie-Yamaguti algebras
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作者 TENG Wen PAN Yuewei 《中山大学学报(自然科学版)(中英文)》 北大核心 2025年第4期115-127,共13页
The modifiedλ-differential Lie-Yamaguti algebras are considered,in which a modifiedλ-differential Lie-Yamaguti algebra consisting of a Lie-Yamaguti algebra and a modifiedλ-differential operator.First we introduce t... The modifiedλ-differential Lie-Yamaguti algebras are considered,in which a modifiedλ-differential Lie-Yamaguti algebra consisting of a Lie-Yamaguti algebra and a modifiedλ-differential operator.First we introduce the representation of modifiedλ-differential Lie-Yamaguti algebras.Furthermore,we establish the cohomology of a modifiedλ-differential Lie-Yamaguti algebra with coefficients in a representation.Finally,we investigate the one-parameter formal deformations and Abelian extensions of modifiedλ-differential Lie-Yamaguti algebras using the second cohomology group. 展开更多
关键词 Lie-Yamaguti algebra modifiedλ-differential operator representation and cohomology one-parameter formal deformation Abelian extension
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Extensions and Deformations of 3-Lie Algebras with Higher Derivations
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作者 Shuangjian GUO 《Journal of Mathematical Research with Applications》 2025年第1期20-32,共13页
In this paper,we call a tuple consisting of 3-Lie algebra and a higher derivation on it a 3-LieHDer pair.We introduce a cohomology theory of 3-LieHDer pairs.Next,we interpret the second cohomology group as the space o... In this paper,we call a tuple consisting of 3-Lie algebra and a higher derivation on it a 3-LieHDer pair.We introduce a cohomology theory of 3-LieHDer pairs.Next,we interpret the second cohomology group as the space of all isomorphism classes of abelian extensions.Finally,we consider formal deformations of 3-LieHDer pairs that are governed by the cohomology with self-coefficient. 展开更多
关键词 higher derivations 3-LieHDer pairs COHOMOLOGY extensions formal deformations
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Non-Abelian Extensions of Rota-Baxter Pre-Lie Algebras and Wells Exact Sequences
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作者 Shuangjian GUO Qun WANG 《Journal of Mathematical Research with Applications》 2025年第4期473-487,共15页
In this paper,we introduce non-abelian cohomology groups and classify the nonabelian extensions of Rota-Baxter pre-Lie algebras in terms of non-abelian cohomology groups.Next,we explore the inducibility of pairs of au... In this paper,we introduce non-abelian cohomology groups and classify the nonabelian extensions of Rota-Baxter pre-Lie algebras in terms of non-abelian cohomology groups.Next,we explore the inducibility of pairs of automorphisms and derive the analog Wells exact sequences under the circumstance of Rota-Baxter pre-Lie algebras.Finally,we discuss the inducibility problem of pairs of automorphisms about an abelian extensions of Rota-Baxter pre-Lie algebras. 展开更多
关键词 Rota-Baxter pre-Lie algebra non-abelian extension Wells exact sequences
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LOCALLY QUASIDIAGONAL EXTENSIONS OF C^(*)-ALGEBRAS
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作者 SHI Chang-li YAO Hong-liang 《数学杂志》 2025年第6期485-492,共8页
This paper introduce the concept of locally quasidiagonal extension of C^(*)-algebras and give some basic properties.We use the method of analogy,based on some properties possessed by quasidiagonal extensions,we inves... This paper introduce the concept of locally quasidiagonal extension of C^(*)-algebras and give some basic properties.We use the method of analogy,based on some properties possessed by quasidiagonal extensions,we investigate whether local quasidiagonal extensions still retain these properties.We then show that an extension of a locally AF algebra by a locally AF algebra is a locally quasidiagonal extension. 展开更多
关键词 C^(*)-algebra quasidiagonal C^(*)-algebra locally quasidiagonal extension
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Change in the direction of Early Cretaceous tectonic extension in eastern North China Craton as the result of Paleo-Pacific/Eurasian plate interaction 被引量:1
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作者 Lei Ji Jun Deng +7 位作者 Junlai Liu Xiaoyu Chen Xuefei Liu Xinmin Yang Jinlong Ni Liangliang Zhang Yu An Pengfei Tian 《Geoscience Frontiers》 2025年第1期235-248,共14页
How the subduction direction of the Paleo-Pacific plate beneath the Eurasian plate changes in the Early Cretaceous remains highly controversial due to the disappearance of the subducted oceanic plate.Intraplate deform... How the subduction direction of the Paleo-Pacific plate beneath the Eurasian plate changes in the Early Cretaceous remains highly controversial due to the disappearance of the subducted oceanic plate.Intraplate deformation structures in the east Asian continent,however,provide excellent opportunities for reconstructing paleostress fields in continental interior in relation to the Paleo-Pacific/Eurasian plate interaction.Anisotropy of magnetic susceptibility(AMS),geological,and geochronological analyses of post-kinematic mafic dykes intruding the detachment fault zone of the Wulian metamorphic core complex(WL MCC)in Jiaodong Peninsula exemplify emplacement of mantle-sourced dykes in a WNW-ESE(301°-121°)oriented tectonic extensional setting at ca.120 Ma.In combination with the results from our previous kinematic analysis of the MCC,a ca.21°clockwise change in the direction of intraplate extension is obtained for early(135-122 Ma)extensional exhumation of the MCC to late(122-108 Ma)emplacement of the dykes.Such a change is suggested to be related to the variation in subduction direction of the Paleo-Pacific plate beneath the Eurasian plate,from westward(pre-122 Ma)to west-northwestward(post-122 Ma). 展开更多
关键词 Mafic dykes Magnetic fabrics Wulian metamorphic core complex in North China Craton Tectonic extension Subduction of Paleo-Pacific plate
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Early Paleozoic Bimodal Magmatism Documents the Transition from Collisional to Extensional Tectonics within the Central Himalaya
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作者 YIN Zhiqiang LIU Longqiang +4 位作者 LÜXiaochun LI Nan ZHU Lidong LIU Qiang HA Erjia 《Acta Geologica Sinica(English Edition)》 2025年第3期679-692,共14页
The tectonic setting of the Himalaya during the Early Paleozoic has been a subject of enduring debate within the scientific community.Newly discovered bimodal intrusive rocks from comprehensive field geological invest... The tectonic setting of the Himalaya during the Early Paleozoic has been a subject of enduring debate within the scientific community.Newly discovered bimodal intrusive rocks from comprehensive field geological investigation in the central mountain range were subjected to petrology,zircon U-Pb geochronology,zircon Hf isotopes and whole-rock geochemistry analyses.The Palie bimodal intrusive rocks,comprising amphibolite and granitic gneiss,were formed at~489 Ma.The amphibolite exhibits geochemical characteristics consistent with N-MORB,while the granitic gneiss is classified as high potassium calc-alkaline peraluminous S-type granite.Both igneous rocks exhibit negative zirconε_(Hf)(t)values and display ancient T_(DM)^(C)ages.In conjunction with regional geological survey findings,it can be inferred that the formation of the Palie bimodal intrusive rocks occurred within a post-collision extensional tectonic setting.The amphibolite genesis involved partial melting of an enriched lithospheric mantle with some crustal assimilation,whereas the origin of the granitic gneiss can be attributed to partial melting of pre-existing felsic crust.Our data indicate that during the Early Paleozoic,the Himalaya underwent a transition from a pan-African collisional setting to post-collisional extensional tectonics. 展开更多
关键词 igneous rocks TECTONICS bimodal magmatism post-collision extension ORDOVICIAN Palie
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Global Attractor for the Extensible Beam Equation with Rotational Inertia and Nonlocal Strong Damping
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作者 Jianming ZHE Tingting LIU 《Journal of Mathematical Research with Applications》 2025年第4期501-512,共12页
The paper is devoted to establishing the long-time behavior of solutions to the extensible beam equation with rotational inertia and nonlocal strong damping.Within the theory of asymptotical smoothness,we investigate ... The paper is devoted to establishing the long-time behavior of solutions to the extensible beam equation with rotational inertia and nonlocal strong damping.Within the theory of asymptotical smoothness,we investigate the existence of the attractor by using the contractive function method and more detailed estimates. 展开更多
关键词 extensible beam equation rotation inertia nonlocal strong damping global attractor
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Energy dissipation characteristics of sandstone under triaxial extension with different confining pressures
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作者 MA Chun-de TAN Guan-shuang +2 位作者 YANG Wen-yuan KANG Zi-hao ZHANG Gui-yin 《Journal of Central South University》 2025年第6期2195-2207,共13页
After excavation,some of the surrounding rock mass is in a state of triaxial extension,exhibiting tensile or shear fracture modes.To study the energy mechanism of tensile fracture turning to shear fracture,a series of... After excavation,some of the surrounding rock mass is in a state of triaxial extension,exhibiting tensile or shear fracture modes.To study the energy mechanism of tensile fracture turning to shear fracture,a series of triaxial extension tests were conducted on sandstone under confining pressures of 10,30,50 and 70 MPa.Elastic energy and dissipated energy were separated by single unloading,the input energy u_(t),elastic energy u_(e),and dissipated energy u_(d)at different unloading stress levels were calculated by the integrating stress−strain curves.The results show that tensile cracks dominate fracture under lower confining pressure(10 MPa),and shear cracks play an increasingly important role in fracture as confining pressure increases(30,50 and 70 MPa).Based on the phenomenon that u_(e)and u_(d)increase linearly with increasing u_(t),a possible energy distribution mechanism of fracture mode transition under triaxial extension was proposed.In addition,it was found that peak energy storage capacity is more sensitive to confining pressure compared to elastic energy conversion capacity. 展开更多
关键词 triaxial extension energy distribution fracture mode energy dissipation energy storage
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Durable complete response to sintilimab plus chemotherapy in gallbladder cancer with extensive metastasis:A case report
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作者 Feng Wang Xin-Lei Gong +2 位作者 Xin-Ni Chen Zhi-Hui Yang Xiao-Yuan Chu 《World Journal of Clinical Oncology》 2025年第6期305-312,共8页
BACKGROUND Gallbladder cancer is a highly malignant and aggressive tumor,often diagnosed at an advanced stage.The prognosis for advanced gallbladder cancer remains poor,with limited options for effective treatment.CAS... BACKGROUND Gallbladder cancer is a highly malignant and aggressive tumor,often diagnosed at an advanced stage.The prognosis for advanced gallbladder cancer remains poor,with limited options for effective treatment.CASE SUMMARY A 65-year-old male patient presented with a soft tissue mass in the gallbladder.Following laparoscopic exploration,he underwent radical surgery for gallbladder cancer,with the tumor staged as pT2N1M0(stage III).Post-surgery,the patient received four cycles of adjuvant chemotherapy.However,one month later,over 60 metastatic lesions were detected in the liver,lungs,and lymph nodes.In response to the widespread metastasis,he underwent six cycles of combination therapy consisting of sintilimab,albumin-bound paclitaxel,and cisplatin.After two cycles,a partial response was achieved.Maintenance therapy was initiated with a combination of sintilimab and albumin-bound paclitaxel for four cycles.Monotherapy with sintilimab was continued thereafter until October 2023.Complete remission was confirmed in September 2021.The patient sustained this complete response for more than three years,including an eleven-month period without disease progression following the discontinuation of sintilimab.Genetic analysis revealed a tumor mutational burden of 15.4 mutations/megabase,which indicates a potentially favorable response to immunotherapy.CONCLUSION This case demonstrates the potential of combining immunotherapy(sintilimab)with chemotherapy to achieve durable remission in metastatic gallbladder cancer,even in a patient with extensive metastasis.In addition,it indicated the importance of tumor mutational burden as a predictive biomarker of immunotherapy. 展开更多
关键词 Gallbladder cancer IMMUNOTHERAPY Sintilimab Complete response Tumor mutational burden extensive metastasis Case report
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Generation of multitype,multicavity chaotic attractors via impulse-function-based state variable extension
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作者 Xiaoyu Hu Siteng Wang +3 位作者 Panpan Wu Hongbo Cao Tianwei Yang Zhongshuo Dong 《Chinese Physics B》 2025年第8期506-516,共11页
This paper proposes a universal impulse-function-based method for extending discrete chaotic maps,enabling flexible construction of multicavity chaotic attractors.The proposed method achieves one-directional(1D)/two-d... This paper proposes a universal impulse-function-based method for extending discrete chaotic maps,enabling flexible construction of multicavity chaotic attractors.The proposed method achieves one-directional(1D)/two-directional(2D)extensions without introducing additional nonlinear terms or altering system stability.Theoretically,the cavity quantity in arbitrary directions is controlled by adjusting impulse levels N,while the amplitude regulation is implemented through modifications to the proportionality parameter r.Theoretical analyses,including Lyapunov exponents(LEs)and bifurcation diagrams,are conducted,confirming that the extended maps retain the intrinsic dynamics of five rational map classes.The field-programmable gate array(FPGA)implementation results are consistent with the numerical simulation results,verifying the correctness of the theoretical analysis.The method enables the expansion of unipolar attractors and enhances entropy metrics,offering a robust framework for applications in secure communication,encryption,and chaos-based technologies. 展开更多
关键词 discrete chaotic maps impulse-function-based extension method discrete multicavity attractors FPGA implementation
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Performance evaluation of sponge city PPP projects using improved matter-element extension method
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作者 CHEN Zhi-ding HU Min-qian 《Ecological Economy》 2025年第2期151-168,共18页
Sponge city(SPC)is proposed to solve the issues such as the degradation of urban water ecosystem environment,imbalanced water resource allocation,urban water logging,and water contamination.The PPP(Public Private Part... Sponge city(SPC)is proposed to solve the issues such as the degradation of urban water ecosystem environment,imbalanced water resource allocation,urban water logging,and water contamination.The PPP(Public Private Partnership)model is combined to release the government pressure of SPC project construction.The development of the SPC-PPP model makes significant contributions to the sustainable development and the enhancement of urban resilience against water-related disasters.However,there is no scientific performance evaluation system on its operation period has been conducted.Therefore,the SPC-PPP Evaluation model aims to objectively and reasonably assess project effectiveness,promote its development and refine the evaluation framework.This paper has set up the MEE model for performance evaluation,with improved Matter-Element Extension method to assign values to the evaluation indices.The research results show that:(1)The MEE model is more accurate in the performance evaluation and its effectiveness is reflected in its ability to capture the correlation among different indices in the same membership,rather than merely focusing on individual indices.(2)The proposed approach provided a new aspect for performance evaluation,improving the accuracy of evaluation and promoting the development of SPC-PPP project. 展开更多
关键词 public private partnership sponge city performance evaluation improved matter-element extension method
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Oceanic Eddy Kinetic Energy in the Spectral Space Regulated by Mesoscale Air–Sea Heat Exchange in the Kuroshio Extension
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作者 Mingkui LI Jinzhuo CAI +2 位作者 Haiyuan YANG Zhaohui CHEN Lixin WU 《Advances in Atmospheric Sciences》 2025年第12期2539-2549,共11页
Mesoscale air-sea interactions play a critical role in damping eddy activities.However,how mesoscale heat flux influences the distribution of eddy kinetic energy(EKE)in the wavenumber space remains unclear.In this stu... Mesoscale air-sea interactions play a critical role in damping eddy activities.However,how mesoscale heat flux influences the distribution of eddy kinetic energy(EKE)in the wavenumber space remains unclear.In this study,we investigate the EKE and temperature variance(T_(var))budgets in the Kuroshio Extension(KE)region using wavenumber spectral analysis based on 1/10°coupled climate simulations.These simulations include a standard high-resolution simulation and a smoothed simulation that overlooks mesoscale heat flux.By comparing the differences between these models,we confirm that air-sea heat exchange significantly dissipates Tvar.Neglecting mesoscale heat flux results in a 60% underestimation of the Tvar damping rate,which in turn increases energy transfer to EKE through the vertical buoyancy flux by 22%.This enhanced vertical buoyancy flux leads to a 20% higher EKE level and larger energy budget terms,particularly in the diffusion term,which is closely related to wind power.Furthermore,underestimating air-sea heat exchange could lead to an overestimation of the inverse kinetic energy cascade,thereby distorting the overall energy budget in the KE region. 展开更多
关键词 air-sea heat exchange mesoscale eddy spectral analysis energy budget energy cascade Kuroshio extension
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Enhancing climate-smart coastal farming system through agriculture extension and advisory services towards the avenues of farm sustainability
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作者 Md Maruf BILLAH Mohammad Mahmudur RAHMAN +3 位作者 Santiago MAHIMAIRAJA Alvin LAL Asadi SRINIVASULU Ravi NAIDU 《Regional Sustainability》 2025年第4期12-25,共14页
Agriculture extension and advisory services(AEAS)are integral to smart agricultural systems and play a pivotal role in supporting sustainable agricultural development.The study aimed to assess the role of AEAS in stre... Agriculture extension and advisory services(AEAS)are integral to smart agricultural systems and play a pivotal role in supporting sustainable agricultural development.The study aimed to assess the role of AEAS in strengthening climate-smart coastal farming system to enhance coastal agricultural sustainability.A mixed-methods study was conducted in the southwestern coastal region of Bangladesh in 2023,which involved administering a structured questionnaire and conducing face-to-face interviews with 390 farmers.Perceived role index(PRI)was employed to assess the potential role of AEAS.To forecast the perceived role outcomes,the machine learning model was undertaken by utilizing suitable algorithms.Additionally,feature importance was calculated to underpin the significant factors of perceived role outcomes.The findings showed that coastal farming communities held a comprehensive understanding of the role of AEAS.Key roles included diffusion of agricultural innovations,acting as a bridge between farmers and research organizations,using demonstration techniques to educate farmers,training farmers on food storage,processing,and utilization,and promoting awareness and adoption of best practices.The machine learning model exposed a significant relationship between farmers’socio-economic characteristics and their perception behavior.The results identified that factors like innovativeness,awareness,training exposure,access to AEAS,and access to information significantly influenced how farmers perceived the efficacy of AEAS in promoting a smart coastal farming system.However,farmers confronted multiple constraints in receiving demand-driven services and maintaining coastal farm sustainability.These insights can guide concerned authorities and policy-makers in providing AEAS for the purpose of strengthening climate-smart coastal farming system,particularly with a special focus on capacity building programs and machine learning application.Moreover,the outcomes of this study can assist the authorities of similar coastal systems throughout the world to initiate potential strategies for enhancing region-specific agricultural sustainability. 展开更多
关键词 Agriculture extension and advisory services(AEAS) Climate-smart coastal farming system Climate change Machine learning Farm sustainability
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LIBERAL EXTENSIONS 和反单本原根
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作者 魏俊潮 陈建华 《数学杂志》 CSCD 1998年第1期5-8,共4页
设R≤T≤S,其中S是R的LiberalExtensionsandT是R的IntermediateExtension我们证明了下面等式:s(S)∩R=s(R)=s(T)∩R,且s(T)n≤s(S).其中S可为反单本原... 设R≤T≤S,其中S是R的LiberalExtensionsandT是R的IntermediateExtension我们证明了下面等式:s(S)∩R=s(R)=s(T)∩R,且s(T)n≤s(S).其中S可为反单本原根或反单根。 展开更多
关键词 反单本原根 亚直既约环 结合环 自由扩张
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Mesozoic Large-scale Mineralization and Multiple Lithospheric Extensions in South China 被引量:16
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作者 MAO Jingwen XIE Guiqing +2 位作者 LI Xiaofeng ZHANG Changqing WANG Yitian 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2006年第3期420-431,共12页
South China is the most important polymetallic (tungsten, tin, bismuth, copper, silver, antimony, mercury, rare metals, heavy rare earth elements, gold and lead-zinc) province in China. This paper describes the basi... South China is the most important polymetallic (tungsten, tin, bismuth, copper, silver, antimony, mercury, rare metals, heavy rare earth elements, gold and lead-zinc) province in China. This paper describes the basic characteristics of Mesozoic large-scale mineralization in South China. The large-scale mineralization mainly took place in three intervals: 170-150 Ma, 140-126 Ma and 110-80 Ma. Among these the first stage is mainly marked by copper, lead-zinc and tungsten mineralization and the third stage is mainly characterized by tin, gold, silver and uranium mineralization. The stage of 140-126 Ma mainly characterized by tungsten and tin mineralization is a transitional interval from the first to the third stage. In fight of the current research results of the regional tectonic evolution it is proposed that the large-scale mineralization in the three stages is related to post-collision between the South China block and the North China block, transfer of the principal stress-field of tectonic regimes from N-S to E-W direction, and multiple back-arc lithospheric extensions caused by subduction of the Paleo-Pacific plate. 展开更多
关键词 MINERALIZATION polymetallic deposit MESOZOIC extensION South China
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DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA 被引量:5
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作者 张庆成 张永正 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期933-948,共16页
In this article,the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer(L)and central extension H^2(L,F)on some ... In this article,the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer(L)and central extension H^2(L,F)on some Lie color algebras.Meanwhile,they generalize the notion of double extension to quadratic Lie color algebras,a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given. 展开更多
关键词 DERIVATION central extension double extension quadratic Lie color algebra
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EXTENSIONS OF SOME INEQUALITIES 被引量:2
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作者 Chen Daoqiof Math., Zhejiang Univ., Hangzhou, 310027. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第3期241-243,共3页
By using a simple analytic method the following inequalities are proved:(b x+y -a x+y )/(b x-a x)≥[(x+y)/x][(a+b)/2] y, for 0<a<b,x≥1,y>0,x+y≥2; (b x+y -a x+y )/(b x-a x)<[(x... By using a simple analytic method the following inequalities are proved:(b x+y -a x+y )/(b x-a x)≥[(x+y)/x][(a+b)/2] y, for 0<a<b,x≥1,y>0,x+y≥2; (b x+y -a x+y )/(b x-a x)<[(x+y)/x][(a+b)/2] y, for 0<a<b,0<x<1,y>0,x+y≤2. These inequalities are the extensions of inequalities of Qi Feng, Xu Senlin and Zheng Lin. And a conjection of Qi Feng is proved not true. 展开更多
关键词 Analytic method INEQUALITY extensION conjection.
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Rings with Symmetric Endomorphisms and Their Extensions 被引量:1
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作者 Yao WANG Weiliang WANG Yanli REN 《Journal of Mathematical Research with Applications》 CSCD 2015年第1期56-70,共15页
Let R be a ring with an endomorphism α and an α-derivation δ. We introduce the notions of symmetric α-rings and weak symmetric α-rings which are generalizations of symmetric rings and weak symmetric rings, respec... Let R be a ring with an endomorphism α and an α-derivation δ. We introduce the notions of symmetric α-rings and weak symmetric α-rings which are generalizations of symmetric rings and weak symmetric rings, respectively, discuss the relations between symmetric α-rings and related rings and investigate their extensions. We prove that if R is a reduced ring and α(1) = 1, then R is a symmetric α-ring if and only if R[x]/(x^n) is a symmetric q^--ring for any positive integer n. Moreover, it is proven that if R is a right Ore ring, α an automorphism of R and Q(R) the classical right quotient ring of R, then R is a symmetric α-ring if and only if Q(R) is a symmetric α-ring. Among others we also show that if a ring R is weakly 2-primal and (α, δ)-compatible, then R is a weak symmetric α-ring if and only if the Ore extension R[x; α, δ] of R is a weak symmetric α^--ring. 展开更多
关键词 symmetric α-ring weak symmetric α-ring polynomial extension classical quotient ring extension Ore extension
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A Remark on Double Ore Extensions 被引量:1
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作者 LI Qi-Ning 《Chinese Quarterly Journal of Mathematics》 2019年第1期99-110,共12页
The aim of this article is to summarize the relationship between double Ore extensions and iterated Ore extensions, and mainly describe the lifting of properties from an algebra A to a(right) double Ore extension B of... The aim of this article is to summarize the relationship between double Ore extensions and iterated Ore extensions, and mainly describe the lifting of properties from an algebra A to a(right) double Ore extension B of A which can not be presented as iterated Ore extensions. 展开更多
关键词 DOUBLE ORE extensION ITERATED ORE extensION LIFTING of properties
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Ore Extensions over Weakly 2-primal Rings 被引量:2
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作者 WANG YAO JIANG MEI-MEI REN YAN-LI 《Communications in Mathematical Research》 CSCD 2016年第1期70-82,共13页
A weakly 2-primal ring is a common generalization of a semicommutative ring, a 2-primal ring and a locally 2-primal ring. In this paper, we investigate Ore extensions over weakly 2-primal rings. Let α be an endomorph... A weakly 2-primal ring is a common generalization of a semicommutative ring, a 2-primal ring and a locally 2-primal ring. In this paper, we investigate Ore extensions over weakly 2-primal rings. Let α be an endomorphism and δ an α- derivation of a ring R. We prove that (1) If R is an (α, δ)-compatible and weakly 2-primal ring, then R[x; α, δ] is weakly semicommutative; (2) If R is (α, δ)-compatible, then R is weakly 2-primal if and only if R[x; α, δ] is weakly 2-primal. 展开更多
关键词 (α δ)-compatible ring weakly 2-primal ring weakly semicommutativering nil-semicommutative ring Ore extension
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