Combinatorial properties and characterization of glued semigroups

TL;DR

This paper investigates the combinatorial properties of glued semigroups, offering a characterization and generalizations of classical results, along with new methods for constructing such semigroups.

Contribution

It provides a combinatorial characterization of glued semigroups and generalizes classical results, introducing methods to construct glued semigroups.

Findings

Established a combinatorial characterization of glued semigroups

Generalized classical results for affine glued semigroups

Developed new methods for constructing glued semigroups

Abstract

This work focuses on the combinatorial properties of glued semigroups and provides its combinatorial characterization. Some classical results for affine glued semigroups are generalized and some methods to obtain glued semigroups are developed.