Type conditions of stable range for identification of qualitative generalized classes of rings

zbMath1423.13102arXiv1604.05740MaRDI QIDQ5224185

B. V. Zabavs'kyj

Publication date: 19 July 2019

Full work available at URL: https://arxiv.org/abs/1604.05740

zbMATH Keywords

regular ringclean ringBézout ringHermite ringsemi-hereditary ringstable range \(1\)

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Commutative ring extensions and related topics (13B99) Arithmetic rings and other special commutative rings (13F99)

Related Items (3)

Stable range conditions for abelian and duo rings ⋮ On a theorem of Anderson and Chun ⋮ Diagonal reduction of matrices over commutative semihereditary Bezout rings

Cites Work

• Unnamed Item
• Neat rings
• \(\Delta\)-rings
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• On cerrain classes of pe-rings
• Elementary Divisors and Modules

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