A realization theorem for sets of distances

DOI10.1016/j.jalgebra.2017.03.003zbMath1365.13002arXiv1608.06407OpenAlexW2962761840MaRDI QIDQ527778

Alfred Geroldinger, Wolfgang Alexander Schmid

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1608.06407

zbMATH Keywords

Krull monoidssets of lengthssets of distances

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (14)

On length densities ⋮ On product-one sequences over dihedral groups ⋮ Power monoids: a bridge between factorization theory and arithmetic combinatorics ⋮ Unnamed Item ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ The elasticity of Puiseux monoids ⋮ On the algebraic and arithmetic structure of the monoid of product-one sequences ⋮ REALISABLE SETS OF CATENARY DEGREES OF NUMERICAL MONOIDS ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ Systems of sets of lengths of Puiseux monoids ⋮ Structural properties of subadditive families with applications to factorization theory ⋮ A realization theorem for sets of lengths in numerical monoids ⋮ Factorization theory in commutative monoids ⋮ Which sets are sets of lengths in all numerical monoids?

Cites Work

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• The set of distances in Krull monoids
• Sets of Lengths
• Direct-sum decompositions of modules with semilocal endomorphism rings
• Factorization Theory and Decompositions of Modules

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