Classes of complete intersection numerical semigroups

TL;DR

This paper explores various classes of complete intersection numerical semigroups from multiple mathematical contexts, analyzing their relationships and properties, especially regarding the operation of gluing.

Contribution

It classifies the logical implications among different classes of complete intersection numerical semigroups and examines their behavior under gluing operations.

Findings

Identified all logical implications among classes

Provided examples illustrating class distinctions

Showed well-behaved nature under gluing

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.