Monoid Domain Constructions of Antimatter Domains

DOI10.1080/00914030701410294zbMath1129.13002OpenAlexW1992953273MaRDI QIDQ5426307

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Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00914030701410294

zbMATH Keywords

atomBézout domainSchreier domainantimatter domain\(t-\) ideal

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Divisibility and factorizations in commutative rings (13A05) Arithmetic rings and other special commutative rings (13F99)

Related Items (12)

Some examples in Gorenstein multiplicative ideal theory ⋮ Factorization of polynomials with rational exponents over a field ⋮ Commutative domains of elementary divisors and some properties of their elements ⋮ Integral domains of finite \(t\)-character ⋮ When Is a Group Algebra Antimatter? ⋮ Irreducibility and Factorizations in Monoid Rings ⋮ On the Molecules of Numerical Semigroups, Puiseux Monoids, and Puiseux Algebras ⋮ PRINC domains and comaximal factorization domains ⋮ Two counterexamples in abstract factorization ⋮ Krull Dimension of Monomial Ideals in Polynomial Rings with Real Exponents ⋮ When Is a Puiseux Monoid Atomic? ⋮ On semigroup algebras with rational exponents

Cites Work

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• Factorization in integral domains. II
• The construction \(D+XD_s[X\)]
• On t-invertibility II
• On a property of pre-schreier domains
• Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks
• On integral domains with no atoms

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