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Research Articles

X-generalized skew derivations behaving as weak Jordan right η-centralizers in prime rings

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Pages 817-824 | Received 30 Jan 2023, Accepted 07 Aug 2023, Published online: 29 Aug 2023
 

Abstract

Consider a prime ring R which is noncommutative with the maximal left ring of quotients of R denoted by Qml(R) and the extended centroid C. An additive map G:RQml(R) satisfying G(g2)+ηgG(g)C for all gR, where ηC is called a weak Jordan right η-centralizer. In this paper, we establish the characterization of weak Jordan right η-centralizers in prime rings. As an application, we describe X-generalized skew derivations which behave like weak Jordan right η-centralizers.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

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