Finiteness theorems for factorizations

DOI10.1007/BF02574329zbMath0751.20046WikidataQ114233783 ScholiaQ114233783MaRDI QIDQ1184175

Franz Halter-Koch

Publication date: 28 June 1992

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135134

zbMATH Keywords

factorizationfiniteness conditionscommutative cancellative monoidsbounded factorization domainfinite factorization domainproducts of irreducibles

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Units and factorization (11R27) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Semigroup rings, multiplicative semigroups of rings (20M25)

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Cites Work

• Factorization in integral domains
• Atomic rings without a.c.c. on principal ideals
• On the number and ideal theory of one-dimensional noetherian integral domains.
• An approximation theorem for semigroups with divisor theory
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