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Commutativity Criteria for a Factor Ring R/P Arising from P-Centralizers
Lahcen Oukhtite,Karim Bouchannafa,My Abdallah Idrissi 경북대학교 자연과학대학 수학과 2023 Kyungpook mathematical journal Vol.63 No.4
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.