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.
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
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
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.