On Some Properties for Cofiniteness of Submonoids and Ideals of an Affine Semigroup-Reference-Cited by-同舟云学术

On Some Properties for Cofiniteness of Submonoids and Ideals of an Affine Semigroup

Published:2024-07-20 Issue:7 Volume:13 Page:488
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Cisto Carmelo¹^ORCID

Affiliation:

1. Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, Viale Ferdinando Stagno D’Alcontres 31, 98166 Messina, Italy

Abstract

Let S and C be affine semigroups in Nd such that S⊆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.

Funder

Institute of Mathematics of the University of Granada

Istituto Nazionale di Alta Matematica

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/7/488/pdf

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