During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he
following problem, known as the Frobenius Problem (FP): given relatively prime positive …

The study of semigroup algebras has a long tradition in commutative algebra. Presentation
ideals of semigroup algebras are called toric ideals, in reference to their prominent role in …

We study the minimal free resolution F of a ring T= SI where S is a positive affine semi-group
ring over a field K, and I is an ideal in S generated by monomials. We will essentially use the …

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We examine the Delta set of a cancellative and reduced atomic monoid S where every set of
lengths of the factorizations of each element in S is bounded. In particular, we show the …

Minimal systems of generators for ideals of semigroups Page 1 JOURNAL OF PURE AND
APPLIED ALGEBRA ELSEVIER Journal of Pure and Applied Algebra 124 (1998) 7-30 Minimal …

Let K be an arbitrary field. Let a=(a 1<⋯< an) be a sequence of positive integers. Let C (a) be
the affine monomial curve in A n parametrized by t→(ta 1,..., tan). Let I (a) be the defining …

We generalize work of Lascoux and Józefiak-Pragacz-Weyman on Betti numbers for
minimal free resolutions of ideals generated by 2× 2 minors of generic matrices and generic …

Abstract Let I⊆ R= K [x 1,…, xn] be a toric ideal, ie, a binomial prime ideal. We investigate
when the ideal I can be “split” into the sum of two smaller toric ideals. For a general toric …

A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect
to a generator, using Groebner bases, is presented, together with a generalization for affine …