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Atomic commutative monoids and their elasticity.

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Publication:1434106
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DOI10.1007/s00233-002-0022-4zbMath1128.20049OpenAlexW2148153114WikidataQ58842891 ScholiaQ58842891MaRDI QIDQ1434106

José Carlos Rosales, Pedro A. García Sánchez, Juan Ignacio García García

Publication date: 1 July 2004

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-002-0022-4

zbMATH Keywords

unitsalgorithmspresentationsfinitely generated commutative monoidsirreducible elementsatomic monoidselasticitiesfactorization problems


Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)


Related Items

On the delta set and the Betti elements of a BF-monoid., Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules, Factorization under local finiteness conditions, On divisor-closed submonoids and minimal distances in finitely generated monoids, Sets of lengths in atomic unit-cancellative finitely presented monoids, AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT, An Overview of the Computational Aspects of Nonunique Factorization Invariants, Computation of the \(\omega\)-primality and asymptotic \(\omega\)-primality with applications to numerical semigroups.



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