Factorization of powers in \(C\)-monoids.

DOI10.1016/j.jalgebra.2005.11.006zbMath1116.20042OpenAlexW1991404632MaRDI QIDQ855334

Andreas Foroutan, Wolfgang Hassler

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.11.006

zbMATH Keywords

irreducible elementscommutative cancellative monoidsatomic monoidssets of lengths of factorizations

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Integral domains (13G05) Factorization; primality (11A51)

Related Items (11)

Unnamed Item ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ On strongly primary monoids, with a focus on Puiseux monoids ⋮ Arithmetic of Mori domains and monoids ⋮ Factorization with respect to a divisor-closed multiplicative submonoid of a ring ⋮ Local tameness of \(v\)-Noetherian monoids. ⋮ A characterization of seminormal C-monoids ⋮ Factorizations in Modules and Splitting Multiplicatively Closed Subsets ⋮ On the arithmetic of Krull monoids with infinite cyclic class group ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ On the class semigroup of root-closed weakly Krull Mori monoids

Cites Work

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• Factorization in integral domains
• Properties of factorizations with successive lengths in one-dimensional local domains
• Chains of factorizations and sets of lengths
• On the arithmetic of certain not integrally closed noetheian integral domains
• Length Functions on Integral Domains
• A structure theorem for sets of lengths
• Congruence monoids
• Chains of Factorizations and Factorizations with Successive Lengths

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