Let S and C be affine semigroups in Nd such that S subset of C. We provide a characterization for the set C\S to be finite, together with a procedure and computational tools to check whether such a set is finite and, if so, compute its elements. As a consequence of this result, we provide a characterization for an ideal I of an affine semigroup S so that S\I is a finite set. If so, we provide some procedures to compute the set S\I.
On Some Properties for Cofiniteness of Submonoids and Ideals of an Affine Semigroup
Cisto, C
2024-01-01
Abstract
Let S and C be affine semigroups in Nd such that S subset of C. We provide a characterization for the set C\S to be finite, together with a procedure and computational tools to check whether such a set is finite and, if so, compute its elements. As a consequence of this result, we provide a characterization for an ideal I of an affine semigroup S so that S\I is a finite set. If so, we provide some procedures to compute the set S\I.File in questo prodotto:
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