Extension of refinement rings | Zendy

Rahman Bahmani Sangesari | Zendy; Marjan Sheibani | Zendy; Nahid Ashrafi | Zendy

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Extension of refinement rings

Author(s) -

Rahman Bahmani Sangesari,

Marjan Sheibani,

Nahid Ashrafi

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1504-59

Subject(s) - mathematics , modulo , ring (chemistry) , invariant (physics) , extension (predicate logic) , finitely generated abelian group , pure mathematics , projective module , property (philosophy) , discrete mathematics , computer science , programming language , philosophy , chemistry , organic chemistry , epistemology , mathematical physics

In this paper we prove that a ring R in which every finitely generated projective R -module lifts modulo J(R) is a refinement ring if and only if R J(R) is a refinement ring. We also prove that the refinement property for rings is Morita invariant. Several examples are constructed as well.

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