Irreducible unipotent numerical monoids

Abstract

In our earlier article (Can and Sakran in Port Math 81(1–2): 21–55, 2024) we initiated a study of the complement-finite submonoids of the group of integer points of a unipotent linear algebraic group. In the present article, we continue to develop tools and techniques for analyzing our monoids. In particular, we initiate a theory of ideals for unipotent numerical monoids.