Accepted elasticity in local arithmetic congruence monoids.

DOI10.1007/s00025-014-0374-6zbMath1308.20052OpenAlexW2029720185WikidataQ60107024 ScholiaQ60107024MaRDI QIDQ471749

Marla Williams, Jason Steinberg, Vadim Ponomarenko, Lorin Crawford

Publication date: 17 November 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0374-6

zbMATH Keywords

non-unique factorizationsarithmetic congruence monoidselasticities of factorizationsfactorization lengthsfactorizations into irreducibles

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Commutative semigroups (20M14) Factorization; primality (11A51) Arithmetic theory of semigroups (20M13)

Related Items

Arithmetic of Congruence Monoids, Structural properties of subadditive families with applications to factorization theory

Cites Work

• On the elasticity of generalized arithmetical congruence monoids.
• Factorization in integral domains without identity
• Elastic properties and prime elements.
• On the delta set of a singular arithmetical congruence monoid.
• A theorem on accepted elasticity in certain local arithmetical congruence monoids.
• On a result of James and Niven concerning unique factorization in congruence semigroups.
• Irreducible Factorization Lengths and the Elasticity Problem within ℕ
• On the arithmetic of arithmetical congruence monoids
• Rational Elasticity of Factorizations in Krull Domains
• Congruence monoids
• Arithmetic Congruence Monoids: A Survey
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