Some functional identities arising from derivations

Abdellah Mamouni; Lahcen Oukhtite; Mohammed Zerra

doi:10.4134/CKMS.c220004

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Commun. Korean Math. Soc. 2023; 38(1): 79-87

Online first article September 20, 2022 Printed January 31, 2023

https://doi.org/10.4134/CKMS.c220004

Some functional identities arising from derivations

Abdellah Mamouni, Lahcen Oukhtite, Mohammed Zerra

University Moulay Isma\"{i}l; University Sidi Mohamed Ben Abdellah; University Sidi Mohamed Ben Abdellah

Abstract

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Abstract

This paper considers some functional identities related to derivations of a ring $R$ and their action on the centre of $R/P$ where $P$ is a prime ideal of $R.$ It generalizes some previous results that are in the same spirit. Finally, examples proving that our restrictions cannot be relaxed are given.

Keywords: Prime ring, prime ideal, commutativity, derivations

MSC numbers: Primary 16N60, 16W25, 16U80