Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2024; 39(1): 1-10

Online first article January 26, 2024      Printed January 31, 2024

https://doi.org/10.4134/CKMS.c230052

Copyright © The Korean Mathematical Society.

Generalized derivations in ring with involution involving symmetric and skew symmetric elements

Souad DAKIR, Hajar EL MIR, Abdellah MAMOUNI

University Moulay Isma\"{i}l; Box 2202, University S. M. Ben Abdellah; University Moulay Isma\"{i}l

Abstract

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In this paper we will demonstrate some results on a prime ring with involution by introducing two generalized derivations acting on symmetric and skew symmetric elements. This approach allows us to generalize some well known results. Furthermore, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.

Keywords: Generalized derivation, involution, prime ring, symmetric and skew symmetric element

MSC numbers: 16N60, 16W10, 16W25

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