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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.25 No.3

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A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2018, v.25 no.3, pp.181-191
https://doi.org/10.7468/jksmeb.2018.25.3.181
Rehman, Nadeem Ur
Rehman,, N. U. (2018). A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS, 25(3), 181-191, https://doi.org/10.7468/jksmeb.2018.25.3.181

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)

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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