On $(\Phi , m)$-homoderivations in Rings
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6134Keywords:
Prime and semiprime Rings, Homoderivation, $CE-$derivationAbstract
In this article, we examine the commutativity of a ring $\Omega$ endowed with a specific kind of mappings called centrally extended $(\Phi, m)$-homoderivations, where $\Phi$ is a mapping on $\Omega$, and $m$ is an integer. This mapping is a comprehensive kind of the homoderivation, $\Phi- $homoderivation, and $ m $-homoderivation. Besides, we provide some properties of its center.
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Copyright (c) 2025 Mahmoud M. EL-Soufi, Munerah Almulhem, M. S. Tammam EL-Sayiad
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