Conditions for stable range of an elementary divisor rings

DOI10.1080/00927872.2016.1259418zbMath1376.13009arXiv1508.07418OpenAlexW2963480615MaRDI QIDQ4977666

B. V. Zabavs'kyj

Publication date: 16 August 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07418

zbMATH Keywords

stable rangeBézout ringelementary divisor ringalmost stable rangeGelfand range

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (6)

J-Noetherian Bezout domain which is not of stable range 1 ⋮ Diagonal matrix reduction over Hermite rings ⋮ Clear rings and clear elements ⋮ Elementary matrix reduction over Bézout domains ⋮ Diagonal reduction of matrices over commutative semihereditary Bezout rings ⋮ Rings of dyadic range 1

Cites Work

• Unnamed Item
• Neat rings
• Bézout rings with almost stable range 1
• ELEMENTARY MATRIX REDUCTION OVER ZABAVSKY RINGS
• Gelfand local Bezout domains are elementary divisor rings

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