A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case
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Publication:402664
DOI10.1016/j.jalgebra.2014.03.002zbMath1302.13004OpenAlexW1989334325WikidataQ112881572 ScholiaQ112881572MaRDI QIDQ402664
Mi Hee Park, Evan G. jun. Houston
Publication date: 28 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.03.002
Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items (12)
Star, semistar and standard operations: a case study ⋮ Star operations on numerical semigroups: the multiplicity 3 case. ⋮ Star operations on overrings of Noetherian domains ⋮ The Number of Star Operations on Numerical Semigroups and on Related Integral Domains ⋮ 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 ⋮ 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
Cites Work
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- Integral dependence over a filtration
- Warfield domains
- Multiplicatively closed sets of ideals and residual division on modules
- Noetherian domains which admit only finitely many star operations
- Structure on the set of closure operations of a commutative ring
- Reflexive domains
- 1-dimensional Cohen-Macaulay rings
- On the ubiquity of Gorenstein rings
- MULTIPLICATIVELY CLOSED SETS OF IDEALS AND RESIDUAL DIVISION
- A look at the prime and semiprime operations of one-dimensional domains
- A guide to closure operations in commutative algebra
- Integral Domains Which Admit at Most Two Star Operations
- Examples of star operations on integral domains
- Filtrations, closure operations and prime divisors
- Star-operations induced by overrings
- M-Canonical ideals in integral domains
- Intersections of Quasi-Local Domains
- Divisorial domains
- Asymptotic Behavior of Integral Closures in Modules
- Integral domains in which each non‐zero ideal is divisorial
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