Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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STUDY OF QUOTIENT NEAR-RINGS WITH ADDITIVE MAPS

  • Abdelkarim Boua (Department of Mathematics Polydisciplinary Faculty, LSI, Taza Sidi Mohammed Ben Abdellah University) ;
  • Abderrahmane Raji (LMACS Laboratory Faculty of Sciences and Technology Sultan Moulay Slimane University) ;
  • Abdelilah Zerbane (Department of Mathematics Polydisciplinary Faculty, LSI, Taza Sidi Mohammed Ben Abdellah University)
  • Received : 2023.09.08
  • Accepted : 2024.01.25
  • Published : 2024.04.30
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Abstract

We consider 𝒩 to be a 3-prime field and 𝒫 to be a prime ideal of 𝒩. In this paper, we study the commutativity of the quotient near-ring 𝒩/𝒫 with left multipliers and derivations satisfying certain identities on 𝒫, generalizing some well-known results in the literature. Furthermore, an example is given to illustrate the necessity of our hypotheses.

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Acknowledgement

The authors thank the reviewer for valuable suggestions and comments.

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