@ARTICLE{Sheibani Abdolyousefi,
author = {Sheibani Abdolyousefi, Marjan and Bahmani Sangesari, Raham and Ashrafi, Nahid and },
title = {Diagonal Matrix Reduction over Refinement Rings},
volume = {8},
number = {3},
abstract ={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 matrix A over R admits diagonal reduction if there exit invertible matrices p and Q such that PAQ is a diagonal matrix. We also prove that for every refinement ring R, every regular matrix over R admits diagonal reduction if and only if every regular matrix over R/J(R) admits diagonal reduction. },
URL = {http://mmr.khu.ac.ir/article-1-3106-en.html},
eprint = {http://mmr.khu.ac.ir/article-1-3106-en.pdf},
journal = {Journal title},
doi = {},
year = {2022}
}