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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/15011

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15011

Title:	On Generalized Lie Derivations of Lie Ideals of Prime Algebras
Authors:	Liao, Ping-Bao;Liu, Cheng-Kai
Contributors:	數學系
Keywords:	Prime algebra;Lie ideal;Lie derivation;Functional identity
Date:	2009-02
Issue Date:	2013-01-07T01:43:39Z
Publisher:	Elsevier
Abstract:	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.
Relation:	Linear Algebra and its Applications, 430(4): 1236-1242
Appears in Collections:	[math] Periodical Articles

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