Elastic properties and prime elements.

DOI10.1007/s00025-006-0219-zzbMath1115.20051OpenAlexW2168789637MaRDI QIDQ867474

N. E. Zubov

Publication date: 15 February 2007

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

Full work available at URL: https://doi.org/10.1007/s00025-006-0219-z

zbMATH Keywords

irreducible elementsprime elementslengths of factorizationsnumerical monoidselasticities of factorizationscommutative cancellative atomic monoidsflexible elements

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (13)

Sets of arithmetical invariants in transfer Krull monoids ⋮ The elasticity of Puiseux monoids ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ Accepted elasticity in local arithmetic congruence monoids. ⋮ Minimal relations and catenary degrees in Krull monoids ⋮ Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids ⋮ Strongly taut finitely generated monoids. ⋮ A realization theorem for sets of distances ⋮ Arithmetic of Congruence Monoids ⋮ A NEW CHARACTERIZATION OF HALF-FACTORIAL KRULL MONOIDS ⋮ On elasticities of locally finitely generated monoids ⋮ A theorem on accepted elasticity in certain local arithmetical congruence monoids. ⋮ Arithmetic Congruence Monoids: A Survey

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