Affiliation:
1. Department of Mathematics , Aligarh Muslim University , 202002 Aligarh , India
Abstract
Abstract
The purpose of this paper is to study the commutativity of a prime ring
ℛ
{\mathscr{R}}
with
anti-automorphism ψ and generalized derivation
(
ℱ
,
ξ
)
{(\mathscr{F},\xi)}
satisfying certain algebraic
identities. Furthermore, we describe the structure of any additive map which is ψ-centralizing on
a 2-torsion free prime ring with anti-automorphism ψ. We also provide examples to show that
various conditions imposed on the hypotheses of our results are essential.
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Cited by
7 articles.
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