On the arithmetic of tame monoids with applications to Krull monoids and Mori domains.

DOI10.1016/j.jpaa.2010.02.023zbMath1207.20055OpenAlexW2062273889MaRDI QIDQ989074

Alfred Geroldinger, Florian Kainrath

Publication date: 27 August 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.023

zbMATH Keywords

Davenport constantDedekind domainsKrull monoidsproducts of irreducible elementsKrull domainstame degreessets of lengthsatomic monoidscommutative cancellative semigroupsMori domainstame monoids

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)

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