On normal affine semigroups

We give procedures for determining whether a given monoid is an affine semigroup and for computing the dual of a semigroup. We also give methods for deciding whether an affine semigroup is normal and/or full. The algorithms presented here are based on the computation of the set of minimal nontrivial...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 286; no. 1; pp. 175 - 186
Main Authors:	Rosales, J.C., Garci´a-Sa´nchez, P.A.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 1999
Subjects:	Affine semigroups Dual of a semigroup Full affine semigroups Normal affine semigroups Dual of a semigroup Normal affine semigroups Affine semigroups Full affine semigroups
Online Access:	Get full text
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Summary:	We give procedures for determining whether a given monoid is an affine semigroup and for computing the dual of a semigroup. We also give methods for deciding whether an affine semigroup is normal and/or full. The algorithms presented here are based on the computation of the set of minimal nontrivial nonnegative integer solutions of systems of linear diophantine equations.
ISSN:	0024-3795 1873-1856
DOI:	10.1016/S0024-3795(98)10152-0