A study of homoderivations in 3-prime near-rings with centralizing constraints

Slimane El Amrani, Abderrahmane Raji

Abstract


In this paper, we explore the commutativity of 3-prime near-rings that admit homoderivations satisfying specific differential identities. Furthermore, we present an example demonstrating the essential role of the 3-primeness assumption in several theorems, emphasizing that this condition cannot be disregarded.


Keywords


prime near-rings, homoderivations, commutativity

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DOI: http://dx.doi.org/10.12958/adm2410

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