National Changhua University of Education Institutional Repository : Item 987654321/15011
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題名: On Generalized Lie Derivations of Lie Ideals of Prime Algebras
作者: Liao, Ping-Bao;Liu, Cheng-Kai
貢獻者: 數學系
關鍵詞: Prime algebra;Lie ideal;Lie derivation;Functional identity
日期: 2009-02
上傳時間: 2013-01-07T01:43:39Z
出版者: Elsevier
摘要: Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f,d:R→A are linear maps satisfying thatthen there exist a generalized derivation g:B→AC+C and a linear map ζ:R→C such that f(x)=g(x)+ζ(x) for all x∈R and ζ([R,R])=0 provided that A does not satisfy the standard identity of degree 18.
關聯: Linear Algebra and its Applications, 430(4): 1236-1242
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