Semistar-operations of finite character on integral domains

DOI10.1016/j.jpaa.2004.12.019zbMath1088.13008OpenAlexW2055046128MaRDI QIDQ557057

Abdeslam Mimouni

Publication date: 23 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.019

zbMATH Keywords

Prüfer domainintegrally closed domainconducive domainfinite character semistar operation

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (8)

Integral domains with finitely many spectral semistar operations ⋮ Semistar Invertibility on Integral Domains ⋮ Characterizations of Some Classes of Integral Domains via Semistar Operations ⋮ On the set of \(t\)-linked overrings of an integral domain ⋮ ON THE CARDINALITY OF SEMISTAR OPERATIONS OF FINITE CHARACTER ON INTEGRAL DOMAINS ⋮ Krull dimension, overrings and semistar operations of an integral domain ⋮ Descending chains of semistar operations ⋮ Semistar Operations on Dedekind Domains

Cites Work

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• Conducive integral domains
• Integral domains in which each t-ideal is divisorial
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Ring extensions with some finiteness conditions on the set of intermediate rings
• The v-operation and intersections of quotient rings of integral domains
• Pairs of Rings with the Same Prime Ideals
• Note on valuation rings and semistar-operations
• Note on the number of semistar-operations
• Integral domains in which each non‐zero ideal is divisorial

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