ELEMENTARY MATRIX REDUCTION OVER ZABAVSKY RINGS

Title & Authors
ELEMENTARY MATRIX REDUCTION OVER ZABAVSKY RINGS
Chen, Huanyin; Sheibani, Marjan;

Abstract
We prove, in this note, that a Zabavsky ring R is an elementary divisor ring if and only if R is a $\small{B{\acute{e}}zout}$ ring. Many known results are thereby generalized to much wider class of rings, e.g. [4, Theorem 14], [7, Theorem 4], [9, Theorem 1.2.14], [11, Theorem 4] and [12, Theorem 7].
Keywords
elementary divisor ring;$\small{B{\acute{e}}zout}$ ring;Zabavsky ring;elementary matrix reduction;
Language
English
Cited by
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