Which sets are sets of lengths in all numerical monoids?

DOI10.4064/bc118-12zbMath1480.20131arXiv1802.09945OpenAlexW2963571034WikidataQ127455992 ScholiaQ127455992MaRDI QIDQ5226546

Alfred Geroldinger, Wolfgang Alexander Schmid

Publication date: 31 July 2019

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09945

Mathematics Subject Classification ID

Commutative semigroups (20M14) Arithmetic theory of semigroups (20M13)

Related Items (2)

Factorization invariants of the additive structure of exponential Puiseux semirings ⋮ Factorization under local finiteness conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting `Arithmetic and ideal theory of rings and semigroups', Graz, Austria, September 22--26, 2014
• Factoring ideals in integral domains
• Factorization theory: from commutative to noncommutative settings.
• A realization theorem for sets of distances
• Computation of delta sets of numerical monoids.
• A realization theorem for sets of lengths
• Delta sets for nonsymmetric numerical semigroups with embedding dimension three
• Sets of minimal distances and characterizations of class groups of Krull monoids
• A realization theorem for sets of lengths in numerical monoids
• On the delta set and the Betti elements of a BF-monoid.
• On the algebraic and arithmetic structure of the monoid of product-one sequences. II
• Delta sets for symmetric numerical semigroups with embedding dimension three
• Analytic monoids and factorization problems
• A characterization of class groups via sets of lengths. II.
• The realization problem for delta sets of numerical semigroups
• Sets of lengths in maximal orders in central simple algebras.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• The set of distances in Krull monoids
• ON DELTA SETS OF NUMERICAL MONOIDS
• Polytopes, Rings, and K-Theory
• A pure arithmetical characterization for certain fields with a given class group
• Sets of Lengths
• A characterization of finite abelian groups via sets of lengths in transfer Krull monoids
• Factorizations in Bounded Hereditary Noetherian Prime Rings
• Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids
• Factorization Theory and Decompositions of Modules
• A characterization of class groups via sets of lengths
• THE CATENARY DEGREE OF KRULL MONOIDS II

This page was built for publication: Which sets are sets of lengths in all numerical monoids?