• Title/Summary/Keyword: Commutativity

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Commutativity Criteria for a Factor Ring R/P Arising from P-Centralizers

  • Lahcen Oukhtite;Karim Bouchannafa;My Abdallah Idrissi
    • Kyungpook Mathematical Journal
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    • v.63 no.4
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    • pp.551-560
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    • 2023

  • In this paper we consider a more general class of centralizers called I-centralizers. More precisely, given a prime ideal P of an arbitrary ring R we establish a connection between certain algebraic identities involving a pair of P-left centralizers and the structure of the factor ring R/P.

  • https://doi.org/10.5666/KMJ.2023.63.4.551 인용 PDF

STUDY OF QUOTIENT NEAR-RINGS WITH ADDITIVE MAPS

  • Abdelkarim Boua;Abderrahmane Raji;Abdelilah Zerbane
    • Communications of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.353-361
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    • 2024

  • 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.

  • https://doi.org/10.4134/CKMS.c230233 인용 PDF