套代数上的2-局部φ-导子2-Local Skew-Derivation of Nest Algebras
吴瑞华,吕川
摘要(Abstract)：
从代数的结构和映射的特征出发,研究了套代数上的2-局部φ-导子,证明了套代数上的2-局部φ-导子都是φ-导子.
关键词(KeyWords)： 2-局部φ-导子;φ-导子;套代数
基金项目(Foundation): 中国石油大学自主创新科研计划项目(09CX04065A)
作者(Author): 吴瑞华,吕川
DOI: 10.16393/j.cnki.37-1436/z.2010.05.001
参考文献(References)：
- [1]Kadision R V.Local derivation[J].Algebra,1990,130:494-509.
- [2]Larson D R,Sourour A R.Local derivations and local automorphisms of[J].Proceedings Symposia in Pure Mathematics,1990,51:187-194.
- [3]Semrl P.Local automophisms and derivations on[J].Proc Amer.Math.Soc.,1997,125:2677-2680.
- [4]Bresar M,Semrl P.Mappings which preserve idempotents,local automorphisms,and local derivation[J].Canad Math,1993,45:483-496.
- [5]Crist R L.Local derivation on operator algebras[J].Funct.Anal,1996,135:76-92.
- [6]Larson D R.Reflexivity,algebra reflexivity,and linear interpolation[J].Amer.Math,1988,110:283-229.
- [7]Bresar M,Villena AR.The noncommutative Singer-Wermer conjecture and-derivations[J].London Math.Soc,2002,66:710-720.
- [8]Bergen J.Skew derivations whose invariants satisfy a polynomial identity[J].Algebra,2000,228:710-737.
- [9]Chuang C L.Identities with skew derivations[J].Algebra,2000,224:292-335.
- [10]Chuang C L,Lee TK.Algebraic-skew derivations[J].Algebra,2004,282:1-22.
- [11]Chuang C L,Lee TK.Identities with a single skew derivation[J].Algebra,2005,288:59-77.
- [12]Bresar M,Fosner A,Fosner M.A Kleinecke-Shirokov type condition with Jordan automorphisms[J].Studia Math,2001,147:237-242.