On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings Afrah Mohammad Ibraheem

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Baghdad Science Journal

Abstract

Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]? = [a,b]_?^((?,?) ) holds for all a,b?R and ???. In this paper, we investigate the commutativity of R by the strong commutativity preserving (?,?)-derivation d satisfied some properties, when R is prime and semi prime ?-ring.

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Journal BS. On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings. BSJ [Internet]. 6Mar.2016 [cited 7Aug.2020];13(1):0198. Available from: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2155
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