Star, semistar and standard operations: a case study

DOI10.1016/j.jalgebra.2016.02.013zbMath1348.13002OpenAlexW2289977050MaRDI QIDQ267404

Gregory Morre, Janet C. Vassilev

Publication date: 8 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.02.013

zbMATH Keywords

closure operationprime operationsemiprime operationsemistar operationstar operation

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (1)

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Cites Work

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• A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case
• Krull dimension, overrings and semistar operations of an integral domain
• Basically full ideals in local rings.
• Noetherian domains which admit only finitely many star operations
• Structure on the set of closure operations of a commutative ring
• Reflexive domains
• 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
• Characterizations of Some Classes of Integral Domains via Semistar Operations
• Δ-Closures of Ideals and Rings
• Semistar Operations and Standard Closure Operations
• Some Results on the Asymptotic Completion of an Ideal
• On the Cardinality of Semistar Operations on Integral Domains

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