On the structure of simplicial affine semigroups

Author: Rosales J. C.   García-Sánchez P. A.  

Publisher: Royal Society of Edinburgh

ISSN: 1473-7124

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.130, Iss.5, 2000-10, pp. : 1017-1028

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Abstract

We give a structure theorem for simplicial affine semigroups. From this result we deduce characterizations of some properties of semigroup rings of simplicial affine semigroups. We also compute an upper bound for the cardinality of a minimal presentation of a simplicial affine semigroup.