Carmelo Cisto

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math.AC2024

On some properties for cofiniteness of submonoids and ideals of an affine semigroup

Carmelo Cisto

Let $S$ and $C$ be affine semigroups in $N^{d}$ such that $S \subseteq C$ . We provide a characterization for the set $C ∖ S$ to be finite…

math.AC2023

Ideal extensions of free commutative monoids

C. Cisto, P. A. Garcia-Sanchez, D. Llena

We introduce a new family of monoids, which we call gap absorbing monoids. Every gap absorbing monoid is an ideal extension of a free commutative monoid. For a gap absorbing monoid…