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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/15000

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15000

Title:	Derivations with Engel and Annihilator Conditions on Multilinear Polynomials
Authors:	Liu, Cheng-Kai
Contributors:	數學系
Keywords:	Derivation;Differential identity;GPI;PI;Prime ring
Date:	2005
Issue Date:	2013-01-07T01:43:27Z
Publisher:	Taylor&Francis
Abstract:	Let R be a prime ring with a nonzero derivation d and let f(X 1,…,X t ) be a multilinear polynomial over C, the extended centroid of R. Suppose that b[d(f(x 1,…,x t )), f(x 1,…,x t )] n = 0 for all x i R, where 0 ≠ b R and n is a fixed positive integer. Then f(X 1,…,X t ) is centrally valued on R unless char R = 2 and dim C RC = 4. We prove a more generalized version by replacing R with a left ideal.
Relation:	Communications in Algebra, 33(3): 719-725
Appears in Collections:	[math] Periodical Articles

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