[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2022.62.1.43

On n-skew Lie Products on Prime Rings with Involution

Ali, Shakir (Department of Mathematics, Aligarh Muslim University)
Mozumder, Muzibur Rahman (Department of Mathematics, Aligarh Muslim University)
Khan, Mohammad Salahuddin (Department of Applied Mathematics, Z. H. College of Engineering & Technology, Aligarh Muslim University)
Abbasi, Adnan (Department of Mathematics, Netaji Subhas University)

Publication Information

Kyungpook Mathematical Journal / v.62, no.1, 2022 , pp. 43-55 More about this Journal

Abstract

Let R be a *-ring and n ≥ 1 be an integer. The objective of this paper is to introduce the notion of n-skew centralizing maps on *-rings, and investigate the impact of these maps. In particular, we describe the structure of prime rings with involution '*' such that _*[x, d(x)]_n ∈ Z(R) for all x ∈ R (for n = 1, 2), where d : R → R is a nonzero derivation of R. Among other related results, we also provide two examples to prove that the assumed restrictions on our main results are not superfluous.

Keywords

Prime ring; derivation; involution; centralizing mappings; 2-skew Lie product; 2-skew centralizing mappings; n-skew commuting mappings; n-skew centralizing mapping;

Citations & Related Records

Reference

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