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On Segre products of affine semigroup rings

Published online by Cambridge University Press:  22 January 2016

Lê Tuân Hoa*
Affiliation:
Institute of Mathematics, P. O. Box 631, Bò Hô, Hanoi, Vietnam
*
Sektion Mathematik, M. L. Universität Halle, Halle (S) 4010, DDR
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Let N denote the set of non-negative integers. An affine semigroup is a finitely generated submonoid S of the additive monoid Nm for some positive integer m. Let k[S] denote the semigroup ring of S over a field k. Then one can identify k[S] with the subring of a polynomial ring k[t1, …, tm] generated by the monomials .

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

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