Bulletin of the Belgian Mathematical Society - Simon Stevin

On the Frobenius vector of some simplicial affine semigroups

Ali Mahdavi and Farhad Rahmati

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We give a formula for a Frobenius vector of a Gorenstein simplicial affine semigroup $S$, and when the semigroup is Cohen-Macaulay we give an algorithm computing the set of minimal Frobenius vectors of $S$ for a special class of semigroups.

Article information

Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 4 (2016), 573-582.

First available in Project Euclid: 6 December 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20M05: Free semigroups, generators and relations, word problems [See also 03D40, 08A50, 20F10] 20M25: Semigroup rings, multiplicative semigroups of rings [See also 16S36, 16Y60] 11D07: The Frobenius problem

Frobenius vector simplicial affine semigroup


Mahdavi, Ali; Rahmati, Farhad. On the Frobenius vector of some simplicial affine semigroups. Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 4, 573--582. doi:10.36045/bbms/1480993588. https://projecteuclid.org/euclid.bbms/1480993588

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