Commutative domains of elementary divisors and some properties of their elements

DOI10.1007/s11253-012-0634-0zbMath1260.15016OpenAlexW2059479269MaRDI QIDQ1933319

V. P. Shchedryk

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0634-0

zbMATH Keywords

elementary divisorinvertible matrixBézout domaindomain

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Regular local rings (13H05)

Related Items (2)

Diagonal matrix reduction over Hermite rings ⋮ Rings of dyadic range 1

Cites Work

• Some remarks on elementary divisor rings. II
• Fractionally regular Bezout rings.
• Bézout rings with almost stable range 1
• Some Remarks About Elementary Divisor Rings
• Elementary Divisor Rings and Finitely Presented Modules
• Monoid Domain Constructions of Antimatter Domains
• Elementary Divisors and Modules
• The elementary divisor theorem for certain rings without chain condition
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