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DERIVATION: 作品数：425被引量：542H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：王德威李杰邱亚峰张朝凤马丽丽更多>>; 相关机构：韶关学院哈佛大学复旦大学南京理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

Super-biderivations and Post-Lie Superalgebras on Some Lie Superalgebras: 《Acta Mathematica Sinica,English Series》2023年第9期1736-1754,共19页Munayim Dilxat Shou Lan Gao Dong Liu; Supported by NNSF(Grant Nos.12071405,11971315);Xinjiang Uygur Autonomous Region graduate scientific research innovation project(Grant No.XJ2021G021)。; In this paper,all symmetric super-biderivations of some Lie superalgebras are determined.As an application,commutative post-Lie super algebra structures on these Lie super algebras are also obtained.; 关键词：Lie superalgebra super-biderivation post-Lie superalgebra

Derivations of the Positive Part of the Two-parameter Quantum Group of Type G_(2): 《Acta Mathematica Sinica,English Series》2021年第9期1471-1484,共14页Yong Yue ZHONG Xiao Min TANG; Supported by National Natural Science Foundation of China(Grant No.11771069);Natural Science Foundation of Heilongjiang Province(Grant No.LH2020A020)。; In this paper,we compute the derivations of the positive part of the two-parameter quantum group of type G_(2) by embedding it into a quantum torus.We also show that the first Hochschild cohomology group of this algeb...; 关键词：Two-parameter quantum group DERIVATION Hochschild cohomology group

A Characterization of Generalized Derivations of JSL Algebras: 《Acta Mathematica Sinica,English Series》2017年第4期495-500,共6页Lin CHEN Fang Yan LU; Supported by the National Natural Science Foundation of China(Grant No.11571247);supported by the union program of department of science technology in Guizhou province,Anshun government and Anshun university(Grant No.201304); Let AlgL be a J-subspace lattice algebra on a Banach space X and M be an operator in AlgL. We prove that if δ : AlgL → B(X) is a linear mapping satisfying δ(AB) = δ(A)B + Aδ(B)for all A, B ∈ AlgL with AMB = 0, t...; 关键词：Generalized derivation DERIVATION derivable mapping

Nonlinear Skew Lie Triple Derivations between Factors被引量：7: 《Acta Mathematica Sinica,English Series》2016年第7期821-830,共10页Chang Jing LI Fang Fang ZHAO Quan Yuan CHEN; Supported by National Natural Science Foundation of China(Grant Nos.11526123,11401273);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2015PA010); Let A be a factor. For A, B ∈4, define by [A, B]. = AB- BA＊ the skew Lie product of A and B. In this article, it is proved that a map φ： A- A satisfies φ（[[A, B]., C].） = [[φ（A）, B]., C]. ＋ [[A, φ（B）]. C...; 关键词：Skew Lie triple derivation DERIVATION factor

Low Dimensional Cohomology of Hom-Lie Algebras and q-deformed W(2, 2) Algebra被引量：2: 《Acta Mathematica Sinica,English Series》2014年第6期1073-1082,共10页La Mei YUAN Hong YOU; Supported by China Scholarship Council(Grant No.201206125047);China Postdoctoral Science Foundation Funded Project(Grant No.2012M520715);the Fundamental Research Funds for the Central Universities(Grant No.HIT.NSRIF.201462); This paper aims to study low dimensional cohomology of Hom-Lie algebras and the qdeformed W（2, 2） algebra. We show that the q-deformed W（2, 2） algebra is a Hom-Lie algebra. Also,we establish a one-to-one correspon...; 关键词：Hom-Lie algebras q-deformed W（2 2） algebra DERIVATION second cohomology group first cohomology group

The Structures for the Loop-Witt Algebra被引量：1: 《Acta Mathematica Sinica,English Series》2012年第11期2329-2344,共16页Xiao Min TANG Zhuo ZHANG; Supported in part by National Natural Science Foundation of China (Grant No. 11171294);Natural Science Foundation of Heilongjiang Province of China (Grant No. A201013);Science Fundation for Distinguished Young Scholars of Heilongjiang Province of China (Grant No. JC201004);Postdoctoral Scientific Research Foundation of Heilongjiang Province (Grant No. LBH-Q08026);the fund of Heilongjiang Education Committee (Grant No. 11541268); The loop-Witt algebra is the Lie algebra of the tensor product of the Witt algebra and the Laurent polynomial algebra. In this paper we study the universal central extension, derivations and automorphism group for the...; 关键词：Loop-Witt algebra universal central extension DERIVATION automorphism group

Derivation of Lower Critical Magnetic Field for Anisotropic Ginzburg-Landau Model in Superconductivity被引量：1: 《Acta Mathematica Sinica,English Series》2011年第5期953-982,共30页Yan Lei KOU Shi Jin DING; Supported by National Natural Science Foundation of China （Grant No. 10471050） and Guangdong Provincial Natural Science Foundation （Grant No. 7005795）, National 973 Project （Grant No. 2006CB805902） and University Special Research Foundation for PhD Program （Grant No. 20060574002）; In this paper, the authors discuss the vortex structure of an anisotropic Ginzburg-Landau model for superconducting thin film proposed by Du. We obtain the estimate for the lower critical magnetic field Hc1 which is t...; 关键词：Critical magnetic field anisotropic Ginzburg-Landau model VORTICES

A Note on the Stability of Jordan Triple Higher Ring Derivations: 《Acta Mathematica Sinica,English Series》2009年第12期1975-1986,共12页Jaiok ROH Yong-Soo JUNG Ick-Soon CHANG; supported by Korea Research Foundation Grant funded by the Korean Government,KRF-2008-531-C00008; In the present paper, we establish the stability and the superstability of a functional inequality corresponding to the functional equation fn（xyx） = ∑i＋j＋k=n fi（x）fj （y）fk（x）. In addition, we take account ...; 关键词：functional inequality Jordan triple higher ring derivation stability radical range

Noncommutative Versions of the Singer-Wermer Conjecture with Linear Left θ-derivations: 《Acta Mathematica Sinica,English Series》2008年第11期1891-1900,共10页Yong Soo JUNG Kyoo Hong PARK; The noncommutative Singer-Wermer conjecture states that every linear （possibly unbounded） derivation on a （possibly noncommutative） Banach algebra maps into its Jacobson radical. This conjecture is still an open q...; 关键词：linear left θ-derivation linear θ-derivation Jacobson radical nil radical

On the Toroidal Leibniz Algebras被引量：1: 《Acta Mathematica Sinica,English Series》2008年第2期227-240,共14页Dong LIU Lei LIN; the NNSF (Grants 10671027,10271076,10701019);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.06KJBll0003);Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT);the Shanghai Priority Academic Discipline from the SMEC; Toroidal Leibniz algebras are the universal central extensions of the iterated loop algebras g×C[t1^±1,...,tv^±1] in the category of Leibniz algebras. In this paper, some properties and representations of toroidal ...; 关键词：Toroidal Leibniz algebra derivation and automorphism universal central extension

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