Commutative domains of elementary divisors and some properties of their elements
type: Item
instance of: scholarly article
title: Commutative domains of elementary divisors and some properties of their elements
zbMATH Open document ID: 1260.15016
author: V. P. Shchedryk
published in: Ukrainian Mathematical Journal
publication date: 2013-01-23T00:00:00Z
review text: The author studies commutative domains of elementary divisors from the viewpoint of investigation of the structure of invertible matrices that reduce a given matrix to the diagonal form. Some properties of elements of these domains are indicated. He establishes conditions, close to the stable-range conditions, under which a commutative Bézout domain is a domain of elementary divisors.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 13H05
zbMATH DE Number: 6128294
zbMATH Keywords: domain
zbMATH Keywords: elementary divisor
zbMATH Keywords: invertible matrix
zbMATH Keywords: Bézout domain
MaRDI profile type: Publication
full work available at URL: s11253-012-0634-0
OpenAlex ID: W2059479269
cites work: Elementary Divisors and Modules
cites work: Q5720244
cites work: Some Remarks About Elementary Divisor Rings
cites work: Some remarks on elementary divisor rings. II
cites work: Q5639812
cites work: Elementary Divisor Rings and Finitely Presented Modules
cites work: Bézout rings with almost stable range 1
cites work: Q5467230
cites work: Fractionally regular Bezout rings.
cites work: Q3552571
cites work: Q5467234
cites work: The elementary divisor theorem for certain rings without chain condition
cites work: Monoid Domain Constructions of Antimatter Domains
DOI: 10.1007/S11253-012-0634-0
description: scientific article; zbMATH DE number 6128294