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math.RA2015★ 1 cited
Elementary matrix reduction over locally stable rings
Marjan Sheibani Abdolyousefi, Rahman Bahmani Sangesari, Huanyin Chen
A commutative ring R is locally stable provided that for any such that , there exist some such that has stable range 1.For a Bezout ring $R…
math.RA2015
Elementary Matrix Reduction Over Certain Rings
Marjan Sheibani Abdolyousefi, Huanyin Chen
We explore elementary matrix reduction over certain rings characterized by their localizations. Let be a locally stable ring, we prove that is an elementary divisor ring if…