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article · Annals of the Alexandru Ioan Cuza University - Mathematics

On Jordan ideals and semigroup ideals in 3-prime near-rings with multiplicative derivations

20251 citationOpen accessUniversité Sultan Moulay Slimane

Abstract

The aim of this article is to prove certain properties of multiplicative derivations verifying certain algebraic identities on Jordan ideals and semigroup ideals of a 3prime near-ring. The results obtained characterize the relationship between the structure of this type of near-rings admitting this kind of maps. Additionally, we present examples to show that our assumptions imposed on the various theorems cannot be omitted.

Research topics

  • Advanced Topics in Algebra
  • Rings, Modules, and Algebras
  • Algebraic structures and combinatorial models

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DOI: 10.47743/anstim.2025.00011

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