Stability in Commutative Rings

DOI10.3906/mat-1911-101zbMath1448.13004OpenAlexW3026024203MaRDI QIDQ4970850

Basak Ay Saylam

Publication date: 7 October 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/54389/739750

zbMATH Keywords

Noetherian ringsPrüfer ringsH-local ringslocal-global ringsweakly ES-stable rings

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (1)

ES-w-stability

Cites Work

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• Finite character of finitely stable domains
• Conducive integral domains
• Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions
• Module equivalences: Local to global. When primitive polynomials represent units
• Prestable ideals
• Noetherian stable domains
• Globalizing local properties of Prüfer domains
• On strong Mori domains
• TW-domains and strong Mori domains
• Factoring ideals and stability in integral domains
• ON THE STRUCTURE OF STABLE DOMAINS
• Unique decomposition into ideals for reduced commutative Noetherian rings
• Stable Ideals and Arf Rings
• Stable rings and a problem of Bass
• Integrally closed rings which are Prüfer

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