On the arithmetic of certain not integrally closed noetheian integral domains
DOI10.1080/00927879108824164zbMath0723.20038OpenAlexW1974879893MaRDI QIDQ3211534
Publication date: 1991
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879108824164
irreducible elementsKrull domainsmultiplicative semigroupsets of lengthslengths of factorizationsfinite Picard groupfinitely related semigroupnoetherian integral domainsnonintegrally closed noetherian domainssemigroup with divisor homomorphism
Commutative semigroups (20M14) Integral domains (13G05) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility and factorizations in commutative rings (13A05)
Related Items (17)
Cites Work
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- Factorization problems in semigroups
- Commutative rings in which every ideal is a product of primary ideals
- On non-unique factorizations into irreducible elements
- On primary factorizations
- Subsemigroups of finitely generated groups with divisor-theory
- Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
- Krull Semigroups and Divisor Class Groups
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