RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS

DOI10.1017/S0017089509990097zbMath1184.13010arXiv0705.4208OpenAlexW2963458503MaRDI QIDQ3183190

Abdeslam Mimouni

Publication date: 19 October 2009

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

Full work available at URL: https://arxiv.org/abs/0705.4208

zbMATH Keywords

Prüfer domainstar operationstable domainRatliff-Rush closure

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

Ten Problems on Stability of Domains ⋮ Finitely Stable Rings ⋮ Generic formal fibers and analytically ramified stable rings

Cites Work

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• Conducive integral domains
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• The radical trace property
• When the dual of an ideal is a ring
• Ratliff-Rush closures and coefficient modules
• Globalizing local properties of Prüfer domains
• On strong Mori domains
• t-Linked overrings and prüfer v-multiplication domains
• The ratliff-rush ideals in a noetherian ring
• On t-linked overrings
• On the prime spectrum of a mori domain
• ON THE STRUCTURE OF STABLE DOMAINS
• Stable rings and a problem of Bass
• On the classification of stable domains

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