Diagonal Matrix Reduction over Refinement Rings

Abstract: A ring R is called a refinement ring if the monoid of finitely generated projective R- modules is refinement.  Let R be a commutative refinement ring and M, N, be two finitely generated projective R-nodules, then M~N  if and only if Mm ~Nm for all maximal ideal m of  R. A rectangular matri...

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Bibliographic Details
Main Authors: Marjan Sheibani Abdolyousefi, Raham Bahmani Sangesari, Nahid Ashrafi
Format: Article
Language:fas
Published: Kharazmi University 2022-11-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-3106-en.html