The catenary degrees of elements in numerical monoids generated by arithmetic sequences

DOI10.1080/00927872.2017.1310878zbMath1379.20014OpenAlexW2600900198MaRDI QIDQ4594815

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Publication date: 24 November 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2017.1310878

zbMATH Keywords

non-unique factorizationsnumerical monoidcatenary degree

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Other combinatorial number theory (11B75) Arithmetic theory of semigroups (20M13)

Related Items (9)

Numerical semigroups generated by quadratic sequences ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ Complement-Finite Ideals ⋮ Factorization invariants in numerical monoids ⋮ On arithmetical numerical monoids with some generators omitted ⋮ Factorization invariants of Puiseux monoids generated by geometric sequences ⋮ On the set of catenary degrees of finitely generated cancellative commutative monoids ⋮ Multiplicative factorization in numerical semigroups ⋮ When Is a Puiseux Monoid Atomic?

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