On the cardinality of star operations on a pseudo-valuation domain
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Publication:1945730
DOI10.1216/RMJ-2012-42-6-1939zbMath1264.13006OpenAlexW1986904195MaRDI QIDQ1945730
Publication date: 9 April 2013
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1361800612
Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items (13)
Star operations on numerical semigroups: the multiplicity 3 case. ⋮ Star operations on overrings of Noetherian domains ⋮ Noetherian domains which admit only finitely many star operations ⋮ The Number of Star Operations on Numerical Semigroups and on Related Integral Domains ⋮ Vector subspaces of finite fields and star operations on pseudo-valuation domains ⋮ Dedekind-Mertens lemma and content formulas in power series rings ⋮ Star operations on numerical semigroups: antichains and explicit results ⋮ Locally pseudo-valuation domains with only finitely many star operations ⋮ Some classification of certain integral domains via conductor overrings and semistar operations ⋮ 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
Cites Work
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- Conducive integral domains
- Pseudo-valuation domains
- On the ubiquity of Gorenstein rings
- Examples of star operations on integral domains
- Pairs of Rings with the Same Prime Ideals
- Divisorial domains
- Integral domains in which each non‐zero ideal is divisorial
- On the Cardinality of Semistar Operations on Integral Domains
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