The elasticity of Puiseux monoids

DOI10.1216/jca.2020.12.319zbMath1457.20047arXiv1703.04207OpenAlexW3083527780MaRDI QIDQ2199711

Christopher O'Neill, Felix Gotti

Publication date: 14 September 2020

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

Full work available at URL: https://arxiv.org/abs/1703.04207

zbMATH Keywords

factorizationnumerical monoidPuiseux monoid

Mathematics Subject Classification ID

Commutative semigroups (20M14) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Arithmetic theory of semigroups (20M13)

Related Items

Factorization invariants of the additive structure of exponential Puiseux semirings, On length densities, Finiteness of elasticities of orders in central simple algebras, Unnamed Item, On the primality and elasticity of algebraic valuations of cyclic free semirings, Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid, Factorization in additive monoids of evaluation polynomial semirings, On strongly primary monoids, with a focus on Puiseux monoids, Structural properties of subadditive families with applications to factorization theory, Factorization invariants of Puiseux monoids generated by geometric sequences, When Is a Puiseux Monoid Atomic?

Cites Work

• A realization theorem for sets of distances
• Atomicity and boundedness of monotone Puiseux monoids
• Elastic properties and prime elements.
• The realization problem for delta sets of numerical semigroups
• Full elasticity in atomic monoids and integral domains.
• On the atomic structure of Puiseux monoids
• On delta sets and their realizable subsets in Krull monoids with cyclic class groups
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