[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2018.25.3.181

A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS

Rehman, Nadeem Ur (Department of Mathematics, Aligarh Muslim University)

Publication Information

The Pure and Applied Mathematics / v.25, no.3, 2018 , pp. 181-191 More about this Journal

Abstract

In the present paper, we investigate the action of generalized derivation G associated with a derivation g in a (semi-) prime ring R satisfying $$(G([x,y$ $]$ $)-[G(x),y$ $]$ $)^n=0$$ for all x, $y{\in}I$ , a nonzero ideal of R, where n is a fixed positive integer. Moreover, we also examine the above identity in Banach algebras.

Keywords

generalized derivations; generalized polynomial identity (GPI);

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Times Cited By KSCI : 1 (Citation Analysis)

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