Factorizations into irreducible numerical semigroups

2024/10/17 by Garcia-Sanchez, Pedro A. · 1 citation
#20M14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.13729

Abstract

Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to ℕ_{≥ 2}.

Cited by

• Factorization in Finitely-Presented Monoids

Related

• Union of sets of lengths of numerical semigroups
• m-irreducible numerical semigroups
• Irreducible numerical semigroups with multiplicity three and four
• Factorizations in Numerical Semigroup Algebras
• Elements with unique length factorization of a numerical semigroup generated by three consecutive numbers