Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules

Yushuang Fan, Alfred Geroldinger, Florian Kainrath +1

Let $H$ be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every $k\in \mathbb{N}$, let $…