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article · Algebra and Discrete Mathematics

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

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.

Research topics

  • Advanced Topics in Algebra
  • Fuzzy and Soft Set Theory
  • Rings, Modules, and Algebras

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DOI: 10.12958/adm2410

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