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DERIVATIONS: 作品数：117被引量：127H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：王登银於遒偶世坤牛凤文张淑华更多>>; 相关机构：中国矿业大学青岛科技大学吉林大学华东理工大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽省自然科学基金更多>>

Extensions and Deformations of 3-Lie Algebras with Higher Derivations: 《Journal of Mathematical Research with Applications》2025年第1期20-32,共13页Shuangjian GUO; 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).; 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...; 关键词：higher derivations 3-LieHDer pairs COHOMOLOGY EXTENSIONS formal deformations

Cohomology of Lie-Conformal Algebras with Derivations: 《Journal of Mathematical Research with Applications》2024年第6期754-768,共15页Shuangjian GUO; 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)。; In this paper,we consider Lie conformal algebras with derivations.A pair consisting of a Lie conformal algebra and a distinguished derivation is called a LieCDer pair.We introduce a cohomology theory for LieCDer pair ...; 关键词：Lie conformal algebras COHOMOLOGY abelian extension conformal Lie 2-algebras homotopy derivation

Derivations of the Schrodinger Algebra on Restricted Simple Modules: 《数学进展》2024年第5期1012-1018,共7页HOU Ruiying WANG Shujuan; Supported by NSFC(Nos.12271345,12061029)。; Over an algebraically closed field of characteristic p>2,based on the results on the representation theory of special linear Lie algebra sl(2),restricted simple modules L(λ) of the Schrodinger algebra S(1)are determi...; 关键词：Schrodinger algebra restricted simple module DERIVATION COHOMOLOGY

Derivations and 2-Local Derivations on the BMS-Weyl Algebra: 《湖州师范学院学报》2024年第10期1-6,共6页LU Weizhao HU Xindan GAO Shoulan; National Natural Science Foundation of China(11971315)。; Using the theory of derivations on finitely generated and graded Lie algebras, we determine that derivations of the BMS-Weyl algebra are all inner. On this basis, it is proved that every 2-local derivation of the BMS-...; 关键词：BMS-Weyl algebra DERIVATION inner derivation 2-local derivation

Bi-Jordan n-Derivations on Triangular Rings:Maximal Quotient Rings and Faithful Module: 《Journal of Mathematical Research with Applications》2024年第5期596-616,共21页Xinfeng LIANG Lingling ZHAO; Supported by the 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)。; In this paper,we mainly study the structure of bi-Jordan n-derivations in triangular rings under conditions of maximal quotient rings and faithful bimodules,respectively.It is shown that every bi-Jordan n-derivation c...; 关键词：triangular rings maximal quotient rings faithful bimodules nest algebras extremal biderivation

Nonlinear Mixed Lie Triple Derivations by Local Actions on Von Neumann Algebras: 《Journal of Mathematical Study》2024年第2期178-193,共16页Meilian Gao Xingpeng Zhao; supported by the Scientific and Technological Innovation Programs of Higher Education Programs in Shanxi(Grant No.2021L015);Fundamental Research Program of Shanxi Province(Grant No.202103021223038); As a generalization of global mappings,we study a class of non-global map-pings in this note.Let A⊆B(H)be a von Neumann algebra without abelian direct summands.We prove that if a mapδ:A→A satisfiesδ([[A,B]_(*),C])...; 关键词：Nonlinear mixed Lie triple derivation *-derivation von Neumann algebra

Characterizations of semihoops based on derivations: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期291-310,共20页WANG Mei ZHANG Xiao-hong; Supported by the National Natural Science Foundation of China(12271319).; In this paper,we discuss the related properties of some particular derivations in semihoops and give some characterizations of them.Then,we prove that every Heyting algebra is isomorphic to the algebra of all multipli...; 关键词：(prelinear)semihoop DERIVATION Heyting algebra Galois connection

Characterizations of Lie Triple Derivations on the Algebra of Operators in Hilbert C^(*)-Modules: 《Journal of Mathematical Research with Applications》2024年第3期387-396,共10页Guangyu AN Jun SHENG Jun HE; Supported by the Shaanxi College Students Innovation and Entrepreneurship Training Program(Grant No.S202110708069)。; Let A be a commutative unital C^(*)-algebra with the unit element e and M be a full Hilbert A-module.Denote by End_(A)(M)the algebra of all bounded A-linear mappings on M and by M′the set of all bounded A-linear mapp...; 关键词：Lie triple derivation standard DERIVATION Hilbert C^(*)-module

Nonlinear A^(*)B+B^(*)A Type Derivations on^(*)-Algebras: 《Wuhan University Journal of Natural Sciences》2023年第5期379-384,共6页ZHANG Fangjuan ZHU Xinhong; Supported by the National Natural Science Foundation of China(11601420);the Natural Science Basic Research Plan in Shaanxi Province(2018JM1053)。; Let A be a unital^(*)-algebra with the unit I and a nontrivial projection P∈A.Suppose that A satisfies XAP=0 implies X=0 and XA(I-P)=0 implies X=0.In this paper,we prove thatΦis a nonlinear A^(*)B+B^(*)A type deriva...; 关键词：A^(*)B+B^(*)A type derivations ^(*)-derivation von Neumann algebras

Local Lie n-Derivations of Reflexive Algebras: 《Journal of Mathematical Research with Applications》2023年第5期597-606,共10页Jiankui LI Bo YU; Supported by the National Natural Science Foundation of China (Grant No. 11871021)。; Let L be a subspace lattice on a Banach space X such that X-≠ X and(0)+≠(0).We prove that every local Lie n-derivation from Alg L into B(X) is a Lie n-derivation.; 关键词：derivation local Lie derivation reflexive algebra subspace lattice

DERIVATIONS