Local and Global Tameness in Krull Monoids

DOI10.1080/00927872.2014.897585zbMath1320.20057arXiv1302.3078OpenAlexW1992431326MaRDI QIDQ5245127

Weidong Gao, Alfred Geroldinger, Wolfgang Alexander Schmid

Publication date: 2 April 2015

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

Full work available at URL: https://arxiv.org/abs/1302.3078

zbMATH Keywords

class groupsfinite Abelian groupsDavenport constantzero-sum sequencesKrull monoidstame degreesnonunique factorizationsfactorizations into atoms

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite abelian groups (20K01) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Open Problems in Commutative Ring Theory ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ The computation of factorization invariants for affine semigroups ⋮ On strongly primary monoids and domains ⋮ A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions ⋮ On transfer homomorphisms of Krull monoids

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