Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2024; 61(2): 335-353

Online first article March 18, 2024      Printed March 31, 2024

https://doi.org/10.4134/BKMS.b230030

Copyright © The Korean Mathematical Society.

Certain differential identities in prime rings with anti-automorphisms

Abbas Hussain Shikeh, Mohammad Aslam Siddeeque

Aligarh Muslim University; Aligarh Muslim University

Abstract

The objective of this paper is to study some central identities involving generalized derivations and anti-automorphisms in prime rings. Using the tools of the theory of functional identities, several known results have been generalized as well as improved.

Keywords: Prime ring, maximal left ring of quotients, involution, anti-automorphism, derivation

MSC numbers: Primary 16N60, 16W10, 47B47