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

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

Let [Formula: see text] 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 [Formula: see text], let [Formula: see text] denote the set of all [Formula: see text] with the property that there are atoms …