三角代数上的 Jordan (θ, Φ} -导子

Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1521-1525.

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Jordan (θ, Φ)-derivations of Triangular Algebras

YU Wei-Yan^1,2, ZHANG Jian-Hua²

1.College of Mathematics and Statistics, Hainan Normal University, Haikou 571158;
2.College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062

Received:2009-09-27 Revised:2011-08-20 Online:2011-12-25 Published:2011-12-25
Supported by:
国家自然科学基金(10571114)和新疆大学校院联合项目(XY080105)资助

Suppose that θ, Φ are automorphisms of triangular algebras U=Tri(A, M, B). In this paper, the authors prove that every Jordan (θ, Φ)-derivation of triangular algebras is a (θ, Φ)-derivation when triangular algebras Tri(A, M, B) contain only trivial idempotents.

Key words: Jordan (θ, Φ)-derivation, (θ, Φ)-derivation, Triangular algebra

CLC Number:

47B47

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YU Wei-Yan, ZHANG Jian-Hua. Jordan (θ, Φ)-derivations of Triangular Algebras[J].Acta mathematica scientia,Series A, 2011, 31(6): 1521-1525.

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[8] 谢乐平, 曹佑安. 形式三角矩阵环的导子和自同构. 数学杂志, 2006, 26: 165--170

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Jordan (θ, Φ)-derivations of Triangular Algebras

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