The set of minimal distances in Krull monoids
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Publication:2809363
DOI10.4064/aa7906-1-2016zbMath1360.20053arXiv1404.2873OpenAlexW3105568822MaRDI QIDQ2809363
Alfred Geroldinger, Qinghai Zhong
Publication date: 27 May 2016
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.2873
Units and factorization (11R27) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (18)
On length densities ⋮ The set of distances in seminormal weakly Krull monoids ⋮ On product-one sequences over dihedral groups ⋮ A characterization of class groups via sets of lengths ⋮ A characterization of class groups via sets of lengths. II. ⋮ Sets of Lengths ⋮ A characterization of finite abelian groups via sets of lengths in transfer Krull monoids ⋮ On the incomparability of systems of sets of lengths ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ On divisor-closed submonoids and minimal distances in finitely generated monoids ⋮ Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids ⋮ Sets of minimal distances and characterizations of class groups of Krull monoids ⋮ A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions ⋮ Long sets of lengths with maximal elasticity ⋮ The system of sets of lengths in Krull monoids under set addition ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ On half-factoriality of transfer Krull monoids ⋮ On transfer homomorphisms of Krull monoids
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