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
We analyze existence and uniqueness of solutions for perturbations of a Jensen functional inequality in several variables.Applications in connection with asymptotic behaviors of isomorphisms,derivations and n-Jordan d...We analyze existence and uniqueness of solutions for perturbations of a Jensen functional inequality in several variables.Applications in connection with asymptotic behaviors of isomorphisms,derivations and n-Jordan derivations on Banach algebras are also provided.The results of this paper correct and improve the main results of[12,16,22,23]and improve the corresponding results in[2,9,27],but under weaker assumptions.展开更多
Let R be a commutative ring with unity and T be a triangular algebra over R.Let a sequence G={G_n}_(n∈N)of nonlinear mappings G_n:T→T associated with nonlinear Lie triple higher derivations∆={δ_n}_(n∈N)by local ac...Let R be a commutative ring with unity and T be a triangular algebra over R.Let a sequence G={G_n}_(n∈N)of nonlinear mappings G_n:T→T associated with nonlinear Lie triple higher derivations∆={δ_n}_(n∈N)by local actions be a generalized Lie triple higher derivation by local actions satisfying Gn([[x,y],z])=Σ_(i+j+k=n)[[Gi(x),δj(y)],δk(z)]for all x,y,z∈T with xyz=0.Under some mild conditions on T,we prove in this paper that every nonlinear generalized Lie triple higher derivation by local actions on triangular algebras is proper.As an application we shall give a characterization of nonlinear generalized Lie triple higher derivations by local actions on upper triangular matrix algebras and nest algebras,respectively.At the same time,it also improves some interesting conclusions,such as[J.Algebra Appl.22(3),2023,Paper No.2350059],[Axioms,11,2022,1–16].展开更多
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
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
Through analyzing problems exist in the conceptual planning of Jiuzhouwa Eco-Wetland Park, the derivation process and approach of its core concepts were discussed.
Introduction:One of the main events that regulate a cell’s well-being is cell-to-cell communication.This intercellular mechanism of information transfer is often mediated by vesicular trafficking.Mitochondrial-derive...Introduction:One of the main events that regulate a cell’s well-being is cell-to-cell communication.This intercellular mechanism of information transfer is often mediated by vesicular trafficking.Mitochondrial-derived vesicles(MDVs)are an emerging subpopulation of extracellular vesicle(EV)first discovered in 2008 that allow mitochondria to communicate with their surroundings.展开更多
基金Supported by Basic Research Foundation of Yunnan Education Department(Nos.2020J0748,2021J0635)Talent Project Foundation of Yunnan Provincial Science and Technology Department(No.202105AC160089)NSF of Yunnan Province(No.202101BA070001198).
文摘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.
文摘We analyze existence and uniqueness of solutions for perturbations of a Jensen functional inequality in several variables.Applications in connection with asymptotic behaviors of isomorphisms,derivations and n-Jordan derivations on Banach algebras are also provided.The results of this paper correct and improve the main results of[12,16,22,23]and improve the corresponding results in[2,9,27],but under weaker assumptions.
基金Supported by Open Research Fund of Hubei Key Laboratory of Mathematical Sciences(Central China Normal University)the Natural Science Foundation of Anhui Province(Grant No.2008085QA01)the University Natural Science Research Project of Anhui Province(Grant No.KJ2019A0107)。
文摘Let R be a commutative ring with unity and T be a triangular algebra over R.Let a sequence G={G_n}_(n∈N)of nonlinear mappings G_n:T→T associated with nonlinear Lie triple higher derivations∆={δ_n}_(n∈N)by local actions be a generalized Lie triple higher derivation by local actions satisfying Gn([[x,y],z])=Σ_(i+j+k=n)[[Gi(x),δj(y)],δk(z)]for all x,y,z∈T with xyz=0.Under some mild conditions on T,we prove in this paper that every nonlinear generalized Lie triple higher derivation by local actions on triangular algebras is proper.As an application we shall give a characterization of nonlinear generalized Lie triple higher derivations by local actions on upper triangular matrix algebras and nest algebras,respectively.At the same time,it also improves some interesting conclusions,such as[J.Algebra Appl.22(3),2023,Paper No.2350059],[Axioms,11,2022,1–16].
基金Supported by the National Natural Science Foundation of China(12271323)。
文摘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.
基金Supported by the National Natural Science Foundation of China(Grant No.12161013)the Basic Research Program(Natural Science)of Guizhou Province(Grant No.ZK[2023]025).
文摘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.
文摘Through analyzing problems exist in the conceptual planning of Jiuzhouwa Eco-Wetland Park, the derivation process and approach of its core concepts were discussed.
基金supported by project Emerging Infectious Diseases One Health Basic and Translational Research Actions addressing Unmet Needs on Emerging Infectious Diseases,INF-ACT,Spoke 1 and Spoke 5,Project number PE00000007,CUP B53C20040570005(to PP and DN).
文摘Introduction:One of the main events that regulate a cell’s well-being is cell-to-cell communication.This intercellular mechanism of information transfer is often mediated by vesicular trafficking.Mitochondrial-derived vesicles(MDVs)are an emerging subpopulation of extracellular vesicle(EV)first discovered in 2008 that allow mitochondria to communicate with their surroundings.
