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δ-双Hom-Jordan李色代数的构造与导子扩张
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作者 吴险峰 马丽丽 《数学的实践与认识》 北大核心 2026年第2期249-255,共7页
分别通过合适的双线性映射构造了三类δ-双Hom-Jordan李色代数.定义了保积δ-双Hom-Jordan李色代数的α^(k)β^(k)-导子,进而得到(M㊉RD,[·,·]D,δ,αD,βD)为δ-双Hom-Jordan李色代数的充分必要条件.
关键词 δ-双Hom-jordan李色代数 α^(k)β^(k)-导子 导子扩张
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Jordan代数的三种理想的性质
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作者 姚晨蕊 李娟 《西北师范大学学报(自然科学版)》 2026年第1期108-114,共7页
研究有限维Jordan代数可解和幂零的充分条件、必要条件和充要条件.通过引入三种新的理想,即完美理想、几乎完美理想和上边界理想,得到了有限维Jordan代数可解和幂零的充分条件和必要条件;证明了有限维Jordan代数的极大完美理想和极大几... 研究有限维Jordan代数可解和幂零的充分条件、必要条件和充要条件.通过引入三种新的理想,即完美理想、几乎完美理想和上边界理想,得到了有限维Jordan代数可解和幂零的充分条件和必要条件;证明了有限维Jordan代数的极大完美理想和极大几乎完美理想存在且唯一,分别称之为完美根基和几乎完美根基,并且有限维Jordan代数可解的必要条件是其完美根基为零;有限维Jordan代数幂零的充要条件是其几乎完美根基为零.此外,证明了有限维Jordan代数的极小上边界理想存在且唯一,并且幂零的Jordan代数有且仅有一个上边界理想,就是它自己. 展开更多
关键词 jordan代数 理想 可解 幂零 完美根基
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Prevalence and sociodemographic predictors of bullying among university students in Jordan:a cross-sectional study
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作者 Majd Alebeah Mohammad Suliman +5 位作者 Asem Abdalrahim Abdullah Alkhawaldeh MeanAljezawi Mohammed ALBashtawy Jamal Qaddumi Wesam Taher Almagharbeh 《Frontiers of Nursing》 2026年第1期139-146,共8页
Objective:To determine the prevalence of bullying among university students in Jordan.The study also aims to identify potential predictors of bullying within the context of university students in Jordan.Methods:A cros... Objective:To determine the prevalence of bullying among university students in Jordan.The study also aims to identify potential predictors of bullying within the context of university students in Jordan.Methods:A cross-sectional study using a convenience sampling method was conducted with 350 university students from 3 institutions(2 public and 1 private),who par ticipated in this study.Data were collected through a self-repor ted questionnaire.Data analysis employed descriptive statistics,and multivariate linear regression was executed through the SPSS program(version 26)(IBM Corporation,Armonk,New York,United States)at 5% level of significance.Results:The findings revealed that 30% of the surveyed students reported never experiencing bullying,41.1% indicated rare exposure,20% reported occasional bullying,4.3% noted frequent exposure,and 4.6% reported constant exposure.Statistical analysis identified university and academic year as significant predictors of bullying.The university exhibited significance(B=-0.403,P≤0.05),while the academic year was also a significant predictor(B=0.213,P≤0.05).Conclusions:Given the prevalence and predictors identified,this study recommends the implementation of policies in universities to safeguard students from bullying.These policies should specifically target the most affected individuals. 展开更多
关键词 BULLYING bullying prevalence jordan sociodemographic predictors university students
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Inadequate glycemic control among patients with type 2 diabetes in Jordan:prevalence and associated factors
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作者 Abeer Amin Mohammad Jafar Alshraideh +1 位作者 Mohammed Ibrahim Yacoub Mohammad A.Abu Sabra 《Frontiers of Nursing》 2026年第1期131-138,共8页
Background:Diabetes mellitus(DM)is a chronic illness with potentially fatal and debilitating consequences.Problems with glycemic management are a major issue that adds an added strain to public health services.Objecti... Background:Diabetes mellitus(DM)is a chronic illness with potentially fatal and debilitating consequences.Problems with glycemic management are a major issue that adds an added strain to public health services.Objectives:The purpose of this study is to evaluate the prevalence of poor glycemic control and its related variables among type 2 diabetes mellitus(T2DM)patients in southern Jordan.Methods:A cross-sectional study was carried out in the Prince Hashem bin Abdullah II Hospital in Jordan's southernmost province.For the period April–July 2024,516 individuals with T2D were enrolled.A structured questionnaire that had been pre-prepared was used to collect data.As an index of glycemic control,a glycated hemoglobin(Hb A1c)7%cut-off point was adopted.Results:Poor glycemic control was prevalent in 81.0%of T2DM individuals.Inadequate glycemic control was significantly worse in non-married patients and those with 10 or more years of diabetes duration,insulin treatment,dyslipidemia,neuropathy,cardiovascular illness,and glomerular filtration rate(GFR=60 m L/min;[P<0.05]).Moreover,dyslipidemia and insulin administration increased the likelihood of poor glycemic control(odds ratio[OR]:2 and 5,respectively)(P<0.05).Conclusions:Inadequate glycemic control was common among the current study par ticipants.To prevent disease consequences and enhance the health of patients with diabetes,health care professionals should pay special attention to related risk factors such as dyslipidemia,neuropathy,cardiovascular disease(CVD),extended illness duration,and insulin usage. 展开更多
关键词 diabetes management glycemic control jordan type 2 diabetes
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基于模糊推理和Jordan神经网络的磁悬浮球位置补偿控制研究
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作者 李孝茹 陈士松 黄之文 《上海理工大学学报》 北大核心 2025年第3期299-308,共10页
针对欠训练Jordan神经网络(Jordan neural network,JNN)输出不确定性导致的控制系统动态性能不佳的问题,提出了一种基于模糊推理(fuzzy inference,FI)和JNN的磁悬浮球位置补偿控制新方法,构建了包含基础控制、JNN控制和FI的三模块控制... 针对欠训练Jordan神经网络(Jordan neural network,JNN)输出不确定性导致的控制系统动态性能不佳的问题,提出了一种基于模糊推理(fuzzy inference,FI)和JNN的磁悬浮球位置补偿控制新方法,构建了包含基础控制、JNN控制和FI的三模块控制框架。基础控制模块采用适应性强的PID控制器;JNN控制模块实现磁悬浮球系统的在线辨识与补偿;FI模块动态调整神经网络控制器的输出,以抑制欠训练JNN带来的不确定性影响。实验结果表明,与传统神经网络补偿控制方法相比,在跟踪阶跃信号和方波信号时,超调量分别减小了39.79%和60.61%,调节时间分别减小了19.52%和48.47%。该方法在保证稳态精度的同时,显著提升了控制系统的动态性能。 展开更多
关键词 模糊推理 jordan神经网络 位置补偿控制 磁悬浮球
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Jordan Triple Derivations on *-type Trivial Extension Algebras
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作者 FEI Xiuhai ZHANG Haifang 《数学进展》 北大核心 2025年第3期489-500,共12页
In this paper,we investigate the problem of describing the form of Jordan triple derivations on trivial extension algebras.We show that every Jordan triple derivation on a 2-torsion free *-type trivial extension algeb... In this paper,we investigate the problem of describing the form of Jordan triple derivations on trivial extension algebras.We show that every Jordan triple derivation on a 2-torsion free *-type trivial extension algebra is a sum of a derivation and an antiderivation.As its applications,Jordan triple derivations on triangular algebras are characterized. 展开更多
关键词 jordan triple derivation jordan derivation DERIVATION antiderivation
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自伴算子的Jordan代数上的双Jordan导子 被引量:1
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作者 纪培胜 綦伟青 侯恩冉 《青岛大学学报(自然科学版)》 CAS 2009年第3期1-3,42,共4页
设H是一个复Hilbert空间,B(H)s是H上的由自伴算子构成的一个Jordan代数.双线性映射d:B(H)s×B(H)s→B(H)s是B(H)s上的双Jordan导子当且仅当存在虚数λ使得任给a,b∈B(H)s都有d(a,b)=λ(ab-ba).双线性映射d:B(Hs)×B(H)s→B(H)s... 设H是一个复Hilbert空间,B(H)s是H上的由自伴算子构成的一个Jordan代数.双线性映射d:B(H)s×B(H)s→B(H)s是B(H)s上的双Jordan导子当且仅当存在虚数λ使得任给a,b∈B(H)s都有d(a,b)=λ(ab-ba).双线性映射d:B(Hs)×B(H)s→B(H)s是B(H)s上的双广义Jordan导子当且仅当在H上存在有界线性算子x使得任给a,b∈B(H)s都有d(a,b)=axb+bx*a. 展开更多
关键词 jordan代数 jordan导子 双广义jordan导子
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四元数环上的(m,n)-Jordan中心化子和(m,n)-Lie中心化子
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作者 连佳欣 张建华 孔亮 《吉林大学学报(理学版)》 北大核心 2025年第6期1615-1621,共7页
设S是环,H(S)是S上的四元数环.考虑四元数环上的(m,n)-Jordan中心化子和(m,n)-Lie中心化子,利用生成元分析法证明(m,n)-Jordan中心化子是标准的中心化子,(m,n)-Lie中心化子是标准的Lie中心化子.
关键词 四元数环 (m n)-jordan中心化子 (m n)-Lie中心化子
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Jordan矩阵的幂
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作者 晏林 《文山师范高等专科学校学报》 2006年第2期94-95,共2页
利用数学归纳法给出复数域上Jordan矩阵的幂,并给出两种证明方法。
关键词 jordan矩阵 jordan矩阵的幂 jordan标准形
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The Feasibility of a Proposed Plant Design of Sheep Wool Insulation Material in Jordan to Eliminate the Negative Environmental Impact of Wasted Sheep Wool
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作者 Khalid M. Al-Malah Mais R. Al-Khalafat +3 位作者 Nataly A. Al-Zayadeen Aseel S. Al Mfalfal Bahieh M. Alma’atah Taha M. Alkhamis 《Journal of Environmental Protection》 2025年第2期130-147,共18页
This applied research seeks to explore feasible plant design for manufacturing insulation materials for construction projects using waste sheep fleece to address environmental issues related to wasted sheep wool and e... This applied research seeks to explore feasible plant design for manufacturing insulation materials for construction projects using waste sheep fleece to address environmental issues related to wasted sheep wool and enhance the gross national product. The process starts by collecting low-cost sheep fleece from farms and processed via a production line, including scouring, plucking, carding, thermal bonding, and packing. The design process involves determining an optimal location, infrastructure, staffing, machinery, environmental impact, and utilities. A final economic analysis is undertaken to estimate the product’s cost, selling price, and break-even point based on the anticipated capital and operational costs. The plant is intended to process 6778 tons of sheep wool annually. The study suggests that Mafraq Industrial City is a perfect location for the plant, and purchasing land and structures is the optimal option. The projected capital cost is 1,416,679 USD, while the anticipated operational costs amount to 3,206,275 USD. Insulation material production is estimated to be 114,756 m3 annually. The material may be manufactured into 1 m wide, 0.05 m thick sheets for 2.02 USD per square meter. Thus, for a 10-year plant, a 2.47 USD/m2 selling price breaks even in one year. 展开更多
关键词 Sheep Wool Solid Waste Plant Design Insulation Materials jordan
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素*-代数上的非全局非线性混合Jordan三重可导映射
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作者 何雨川 孔亮 《江西科学》 2025年第2期330-335,共6页
设A是包含非平凡投影且有单位元的素*-代数,Q={T∈A:T^(2)=0},用代数分解方法证明了,若非线性映射φ:A→A满足对任意的A,B,C∈A且A^(*)B^(*)C∈Q,有φ(A·B°C)=φ(A)·B°C+A·φ(B)°C+A·B°φ(C),... 设A是包含非平凡投影且有单位元的素*-代数,Q={T∈A:T^(2)=0},用代数分解方法证明了,若非线性映射φ:A→A满足对任意的A,B,C∈A且A^(*)B^(*)C∈Q,有φ(A·B°C)=φ(A)·B°C+A·φ(B)°C+A·B°φ(C),则φ是A上的可加*-导子。 展开更多
关键词 混合jordan三重可导映射 素*-代数 非线性映射 导子
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Nonlinear maps preserving mixed Jordan triple η-*-products on von Neumann
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作者 PANG Yongfeng HUANG Beilei ZHANG Danli 《纯粹数学与应用数学》 2025年第1期114-137,共24页
Let M and N be two factor von Neumann algebras that their dimensions are large than 1,η≠-1 a non zero complex number and Φa(not necessary linear)bijection between two factor von Neumann algebras satisfying Φ(I)=I.... Let M and N be two factor von Neumann algebras that their dimensions are large than 1,η≠-1 a non zero complex number and Φa(not necessary linear)bijection between two factor von Neumann algebras satisfying Φ(I)=I.For all A,B∈M,define by A■B=AB+BA the Jordan product of A and B,A·_(η)B=AB+ηBA^(*)the Jordan η-*-product of A and B,respectively.Let Φ and Φ^(-1)preserve the mixed Jordan triple η-*-products.It is proved that Φ is a linear *-isomorphism if η is not real and Φ is the sum of a linear *-isomorphism and a conjugate linear *-isomorphism if η is real. 展开更多
关键词 factor von Neumann algebras mixed jordan tripleη-*-products ISOMORPHISM
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Nonlinear Mixed Jordan Triple^(*)-Higher Derivations on^(*)-Algebras
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作者 YU Xinzhao ZHANG Jianhua 《Wuhan University Journal of Natural Sciences》 2025年第5期479-489,共11页
Let A be a unital^(*)-algebra containing a nontrivial projection,N be the set of non-negative integers.Under some mild condi-tions on A,it is shown that any nonlinear mixed Jordan triple^(*)-higher derivation D={dn}n... Let A be a unital^(*)-algebra containing a nontrivial projection,N be the set of non-negative integers.Under some mild condi-tions on A,it is shown that any nonlinear mixed Jordan triple^(*)-higher derivation D={dn}n∈N is an additive^(*)-higher derivation.In particu-lar,we apply the above result to prime^(*)-algebras and von Neumann algebras with no central summands of typeⅠ1. 展开更多
关键词 mixed jordan triple^(*)-higher derivation ^(*)-higher derivation von Neumann algebra
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Jordan三系的次理想的几个性质(英文) 被引量:3
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作者 张知学 董磊 《河北大学学报(自然科学版)》 CAS 2002年第3期215-218,共4页
首先给出了Jordan三元系的次理想的定义与Jordan三元系的次理想的几条简单性质 ,举例说明了次理想与理想是 2个不同的概念 .然后 ,对一类重要的Jordan三元系———正则Jordan三元系 ,证明了它的次理想成为理想的几个充分条件 .
关键词 jordan三元系 次理想 正则jordan三元系 充分条件
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三角代数上的Jordan-triple初等映射及Jordan同构 被引量:3
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作者 魏妙 张建华 《纺织高校基础科学学报》 CAS 2009年第2期193-197,共5页
设U是三角代数,V为任意代数,证明了若映射M:U→V,M*:V→U为满射,并且满足Jordan-trip le初等映射的形式,则M,M*可加.并进一步讨论了映射M,M*在什么条件下具有Jordan同构形式.
关键词 三角代数 jordan—triple初等映射 可加性 jordan同构
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Steroid response and outcomes in childhood nephrotic syndrome:A multicenter,cross-sectional study from Jordan
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作者 Salma A Ajarmeh Kamal Akl +1 位作者 Muna Al Shawabkeh Jumana Al Baramki 《World Journal of Clinical Pediatrics》 2025年第4期295-303,共9页
BACKGROUND Childhood nephrotic syndrome(NS)outcomes vary widely based on steroid responsiveness and complications.AIM To evaluate steroid response,outcomes,and the use of steroid-sparing medications in children with n... BACKGROUND Childhood nephrotic syndrome(NS)outcomes vary widely based on steroid responsiveness and complications.AIM To evaluate steroid response,outcomes,and the use of steroid-sparing medications in children with nephrotic syndrome in Jordan.METHODS This retrospective study evaluated the demographics and outcomes of 122 children aged 1-18 years with NS between 2011 and 2021 across three centers in Jordan.The outcomes assessed included steroid sensitivity rates,dependence,frequent relapses,complications[chronic kidney disease(CKD),end-stage kidney disease(ESKD)],infections,and need for steroid-sparing treatment.RESULTS Of 64%were boys;median age of disease onset was 4 years.Steroid-sensitive and steroid-resistant NS(SRNS)were observed in 81.1%and 18.9%of patients,respectively;28.7%and 9%had steroid-dependent and frequently relapsing NS,respectively.Kidney biopsies were conducted in 46.7%,the most common finding was minimal change disease in 56.1%;82.6%of biopsied SRNS cases showed focal segmental glomerulosclerosis.The median time to first relapse was 9 months.41.8%of patients required steroidsparing medications,with cyclosporine and mycophenolate mofetil being the most frequently used.Despite these treatments,relapse occurred in 11.5%of cases.Infections,primarily urinary tract infections,affected 24.6%of patients,7.4%progressed to high-grade CKD,and 6.6%required dialysis.SRNS was significantly associated with hematuria,hypertension,and ESKD.CONCLUSION Most patients were steroid sensitive,with minimal change being the most common.Focal segmental glomerulosclerosis was the predominant histopathology in the steroid-resistant cases.SRNS patients had worse outcomes,with more infections,CKD,and ESKD. 展开更多
关键词 Nephrotic syndrome Steroid resistance Chronic kidney disease Steroid-sparing medication jordan
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Spatial trends of extreme temperature events and climate change indicators in climate zones of Jordan
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作者 Abdelaziz Q BASHABSHEH Kamel K ALZBOON Zeyad ALSHBOUL 《Journal of Arid Land》 2025年第11期1542-1557,共16页
Extreme temperature events have intensified across Jordan over the past 40 a,increasing risks to agriculture,water availability,urban infrastructure,and public health.The purpose of this study is to assess the long-te... Extreme temperature events have intensified across Jordan over the past 40 a,increasing risks to agriculture,water availability,urban infrastructure,and public health.The purpose of this study is to assess the long-term spatial trends and regime shifts in extreme temperature indicators across Jordan's climate zones to explore climate adaptation strategies.This study presents a high-resolution and spatially explicit assessment of thermal extremes using daily data from 1982 to 2024 across 45 grid-based study points in Jordan.Thirteen temperature indices,including percentile-based thresholds,duration metrics,and absolute extremes,were computed using RClimDex and analyzed across four Köppen climate zones:hot desert(BWh),hot semi-arid(BSh),cold desert(BWk),and Mediterranean(Csa)climates.The analysis confirmed a statistically significant warming trend:annual mean maximum temperatures increased by 2.198°C,while annual mean minimum temperatures rose by 2.035°C.Cold extremes have sharply declined,with cold days(TX10p)decreasing by 70.0%–80.0%,and the cold spell duration indicator(CSDI)dropping from 12.6 to 4.0 d/a,particularly in the BWk zone.Heat indices intensified across all zones,with warm days(TX90p)increasing by over 300.0%in BWh,warm nights(TN90p)rising by 38.1%,and the warm spell duration indicator(WSDI)extending fourfold,indicating prolonged exposure to heatwaves.Mean value of maximum temperature(TXx)reached 45.600°C in most arid areas,while minimum temperature(TNx)exceeded 31.600°C,highlighting increased nocturnal heat stress.Change-point analysis indicated that 1998 was a pivotal year,marking a structural transition in both cold and warm temperature indices.Subsequent intensifications after 2010 in TN90p,TNx,and mean of daily maximum temperature(Tmaxmean)reflected an ongoing trend toward sustained thermal extremes.In addition to time-series trends,the study employed network-based correlation analysis to explore the coherence among climate indices.Strong positive correlations were observed among TXx,TX90p,and mean of daily minimum temperature(Tminmean)(r≥0.94),as well as among TN90p,Tminmean,and TNx(r≥0.87),indicating a tightly clustered heat subsystem.Duration metrics like the WSDI showed a close alignment with percentile extremes(between WSDI and TX90p;r=0.88),suggesting integrated heatwave behavior.In contrast,cold indices(TX10p,TN90p,frost days,and CSDI)exhibited weak or negative correlations and displayed peripheral positioning in the climate network,indicating their limited role under a warming regime.Absolute extremes showed weak internal linkages,suggesting episodic rather than systemic response characteristics.This structural realignment indicated a shift from a previously balanced thermal profile to a heat-dominated climate system.Regional variations revealed that BWh and BSh were experiencing the steepest warming,while Csa was transitioning more slowly but was showing signs of reduced winter cooling and increased irrigation demands.The findings establish a robust climate baseline for Jordan and offer actionable insights for climate adaptation planning.Recommended measures include precision irrigation,the development of heat-resilient crops,improvements to urban cooling infrastructure,and early warning systems for thermal extremes.By integrating spatial climate zoning,regime shift analysis,and inter-index correlation structures,this study provides a replicable framework for monitoring climatic transformations and informing resilience strategies in arid and semi-arid areas. 展开更多
关键词 climate change extreme events arid area temperature trends weather shift Köppen climate classification jordan
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Jordan算子代数上的Jordan导子 被引量:1
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作者 纪培胜 孙晓璐 姜华 《山东大学学报(理学版)》 CAS CSCD 北大核心 2012年第4期1-4,共4页
设A是Jordan代数,如果线性映射d:A→A满足任给a,b∈A都有d(a。b)=d(a)。b+a。d(b),则称d是Jordan导子。本文给出了自伴算子构成的Jordan代数和Spin因子上的Jordan导子的具体表达形式,并且证明了Spin因子上的局部Jordan导子和2-局部Jorda... 设A是Jordan代数,如果线性映射d:A→A满足任给a,b∈A都有d(a。b)=d(a)。b+a。d(b),则称d是Jordan导子。本文给出了自伴算子构成的Jordan代数和Spin因子上的Jordan导子的具体表达形式,并且证明了Spin因子上的局部Jordan导子和2-局部Jordan导子是Jordan导子。 展开更多
关键词 jordan代数 jordan导子 Spin因子
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Jordan矩阵的应用
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作者 伊继昆 《玉溪师范学院学报》 1995年第4期16-21,共6页
1 引言 我们知道,在复数域范围内,对任意方阵A,总存在非奇异矩阵P,使P<sub>-1</sub>
关键词 jordan矩阵 jordan标准形 jordan 特征值 jordan 幂零阵 上三角阵 非奇异矩阵 矩阵方程 初等因子
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用幂零指数的分布规律求Jordan基 被引量:4
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作者 刘学质 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期1005-1008,共4页
研究了线性无关的向量组在同一级幂零指数上的线性关系,得到幂零指数在线性空间的基向量上的分布规律.由此导出了将根子空间的一个任意的基的向量用幂零线性变换和向量的线性组合改造为Jordan基的方法.
关键词 幂零指数 局部线性相关性 jordan标准形 jordan 过渡矩阵
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