Kyungpook Mathematical Journal

  • 제63권4호
  • /
  • Pages.551-560
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  • 2023
  • /
  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Commutativity Criteria for a Factor Ring R/P Arising from P-Centralizers

  • Lahcen Oukhtite (Department of Mathematics, Faculty of Sciences and Technology, S. M. Ben Abdellah University) ;
  • Karim Bouchannafa (Department of Mathematics, Faculty of Sciences and Technology, S. M. Ben Abdellah University) ;
  • My Abdallah Idrissi (Department of Mathematics and informatics, Polydisciplinary Faculty)
  • 투고 : 2022.09.05
  • 심사 : 2023.03.21
  • 발행 : 2023.12.31
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초록

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.

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참고문헌

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