National Changhua University of Education Institutional Repository : Item 987654321/15002

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/15002

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15002

Title:	Generalized Derivations with Nilpotent Values on Multilinear Polynomials
Authors:	Lin, Jer-Shyong;Liu, Cheng-Kai
Contributors:	數學系
Keywords:	Generalized derivation;prime ring;Martindale quotient ring;Generalized polynomial identity (GPI).
Date:	2006-09
Issue Date:	2013-01-07T01:43:31Z
Publisher:	the Mathematical Society of the Republic of China
Abstract:	Let R be a prime ring without nonzero nil one-sided ideals. Suppose that g is a generalized derivation of R and that f(X 1 ,⋯,X k ) is a multilinear polynomial not central-valued on R such that g(f(x 1 ,⋯,x k )) is nilpotent for all x 1 ,⋯,x k in some nonzero ideal of R . Then g=0 .
Relation:	Taiwanese Journal of Mathematics, 10(5): 1183-1192
Appears in Collections:	[math] Periodical Articles

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