三角代数上的Jordan零点ξ-Lie可导映射

黄美愿, 张建华

数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 953-960.

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PDF(332 KB)
数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 953-960. DOI: 10.12386/A2012sxxb0091
论文

三角代数上的Jordan零点ξ-Lie可导映射

    黄美愿, 张建华
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ξ-Lie Derivable Maps on Triangular Algebras by Jordan Zero Products

    Mei Yuan HUANG Jian Hua ZHANG
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摘要

给出了三角代数上Jordan零点ξ-Lie可导映射的结构. 作为应用, 得到了套代数上Jordan零点ξ-Lie可导映射的具体形式.

Abstract

In this paper,the structure of ξ-Lie derivable maps on triangular algebras by Jordan zero products is given.As an application,the form of ξ-Lie derivable maps on nest algebras by Jordan zero products is obtained.

关键词

三角代数 / ξ-Lie可导映射 / ξ-Lie积

Key words

Triangular algebra / ξ-Lie derivable map / ξ-Lie product

引用本文

导出引用
黄美愿, 张建华. 三角代数上的Jordan零点ξ-Lie可导映射. 数学学报, 2012, 55(5): 953-960 https://doi.org/10.12386/A2012sxxb0091
Mei Yuan HUANG Jian Hua ZHANG. ξ-Lie Derivable Maps on Triangular Algebras by Jordan Zero Products. Acta Mathematica Sinica, Chinese Series, 2012, 55(5): 953-960 https://doi.org/10.12386/A2012sxxb0091

参考文献

[1] An R.,Hou J.,Characterizations of derivations on triangular rings:Additive maps derivable at idempotents, Linear Algebra Appl.,2009,431:1070-1080.
[2] Lu F.,Jing W.,Characterizations of Lie derivations of B(X),Linear Algebra Appl.,2010,432:89-99.
[3] Ji P.,Qi W.,Characterizations of Lie derivations of triangular algebras,Linear Algebra Appl.,2011,435: 1137-1146.
[4] Chen L.,Zhang J.,Lie derivable mappings at zero point on nest algebra,Acta Math.Sinica,Chinese Series, 2009,52(1):107-112.
[5] Jiao M.,Hou J.,Additive maps derivable or Jordan derivable at zero point on nest algebras,Linear Algebra Appl.,2010,432:2984-2994.
[6] Qi X.,Cui J.,Hou J.,Characterizing additive ξ-Lie derivations of prim algebras by ξ-Lie zero products, Linear Algebra Appl.,2011,434:669-682.
[7] Brešar M.,Characterizing homomorphisms,multipliers and derivations in rings with idempotents Proc.Roy. Soc.Edinburgh Sect.A,2007,137:9-21.
[8] Cheung W.,Lie derivations of triangular algebras,Linear and Multilinear Algebra,2003,51:299-310.
[9] Hou J.,An R.,Additive maps behaving like derivations at idempotent-product elements,J.Pure Appl. Algebra,2011,215:1852-1862.
[10] Jing W.,Lu S.,Li P.,Characterizations of derivations on some operator algebras,Bull.Austral.Math.Soc., 2002,66:227-232.
[11] Lu F.,Characterizations of derivations and Jordan derivations on Banach algebras,Linear Algebra Appl., 2009,430:2233-2239.
[12] Zhu J.,Xiong C.,Generalized derivable mappings at zero point on nest algebras,Acta Math.Sinica,Chinese Series,2002,45(4):783-788.

基金

国家自然科学基金(10971123); 教育部高等学校博士学科点专项科研基金(20110202110002)
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