On the set of catenary degrees of finitely generated cancellative commutative monoids
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Publication:2814682
DOI10.1142/S0218196716500247zbMath1357.20027arXiv1506.07587MaRDI QIDQ2814682
Christopher O'Neill, Gautam Webb, Reuben Tate, Vadim Ponomarenko
Publication date: 22 June 2016
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07587
factorizationcommutative monoidnumerical monoidcatenary degreefinitely generated monoidBetti element
Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Arithmetic theory of semigroups (20M13)
Related Items (8)
Power monoids: a bridge between factorization theory and arithmetic combinatorics ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ REALISABLE SETS OF CATENARY DEGREES OF NUMERICAL MONOIDS ⋮ Factorization invariants in numerical monoids ⋮ On divisor-closed submonoids and minimal distances in finitely generated monoids ⋮ Minimal relations and catenary degrees in Krull monoids ⋮ A realization theorem for sets of distances ⋮ Distances between Factorizations in the Chicken McNugget Monoid
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids.
- Numerical semigroups.
- Delta sets for symmetric numerical semigroups with embedding dimension three
- Full elasticity in atomic monoids and integral domains.
- The catenary and tame degree in finitely generated commutative cancellative monoids.
- HOW FAR IS AN ELEMENT FROM BEING PRIME?
- ON DELTA SETS OF NUMERICAL MONOIDS
- The catenary degrees of elements in numerical monoids generated by arithmetic sequences
- AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT
- FACTORIZATION INVARIANTS IN HALF-FACTORIAL AFFINE SEMIGROUPS
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