Classes of complete intersection numerical semigroups

Abstract

We consider several classes of complete intersection numerical semigroups, aris- ing from many different contexts like algebraic geometry, commutative algebra, coding theory and factorization theory. In particular, we determine all the logical implications among these classes and provide examples. Most of these classes are shown to be well-behaved with respect to the operation of gluing.

13 pages

References in corpus (4)

• When the associated graded ring of a semigroup ring is Complete Intersection
• Affine semigroups having a unique Betti element
• The Maximal Denumerant of a Numerical Semigroup
• Maximal Denumerant of a Numerical Semigroup With Embedding Dimension Less Than Four

Cited by in corpus (5)

• numericalsgps, a GAP package for numerical semigroups
• The Realization Problem for Delta Sets of Numerical Semigroups
• Open problems on relations of numerical semigroups
• Generalized strongly increasing semigroups
• Isolated factorizations and their applications in simplicial affine semigroups