8 citations · 16 across the 27 of their papers we have counts for
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math.RA2015
Refinement rings, localization and diagonal reduction of matrices
Nahid Ashrafi, Rahman Bahmani Sangesari, Marjan Sheibani
In this paper we prove that if is a commutative refinement ring and , are two -modules then, if and only if for every maximal ideal of , $M_m\cong N…
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…
math.RA2015
Feckly Adequate Conditions and Elementary Matrix Reduction
H. Chen, M. Sheibani
We present some new conditions for a Bzout ring to be an elementary divisor ring. We prove, in this note, that a Bzout ring is feckly zero-adequate if and…