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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
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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