Integrally Closed Domains with Only Finitely Many Star Operations

DOI10.1080/00927872.2013.837477zbMath1310.13030OpenAlexW2065599551MaRDI QIDQ5495308

Mi Hee Park, Abdeslam Mimouni, Evan G. jun. Houston

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.837477

zbMATH Keywords

Prüfer domainstar operationconductive domain

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Unnamed Item ⋮ Star operations on overrings of Noetherian domains ⋮ Star operations on Prüfer \(v\)-multiplication domains ⋮ When Two Principal Star Operations Are the Same ⋮ Multiplicative closure operations on ring extensions ⋮ The sets of star and semistar operations on semilocal Prüfer domains ⋮ Jaffard families and localizations of star operations ⋮ Star operations on numerical semigroups: antichains and explicit results ⋮ The Zariski topology on sets of semistar operations without finite-type assumptions ⋮ Locally pseudo-valuation domains with only finitely many star operations ⋮ Star operations on Kunz domains ⋮ Star operations on overrings of Prüfer domains ⋮ Asymptotic for the number of star operations on one-dimensional Noetherian domains ⋮ On some classes of integral domains with finitely many star operations of finite type ⋮ Finitely star regular domains ⋮ INTEGRAL DOMAINS WITH FINITELY MANY STAR OPERATIONS OF FINITE TYPE

Cites Work

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• Integral Domains Which Admit at Most Two Star Operations
• Star-operations induced by overrings
• M-Canonical ideals in integral domains
• ON THE STRUCTURE OF STABLE DOMAINS
• Integral domains in which each non‐zero ideal is divisorial

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