We give a new classification of monomial curves in A 4 (k). It relies on the detection of those
binomials and monomials that have to appear in every system of binomial generators of the …

In this paper, we deal with the problem of the uniqueness of a minimal system of binomial
generators of a semigroup ideal. Concretely, we give different necessary and/or sufficient …

Let k be an arbitrary field and let b> 1, n> 1 and a be three positive integers. In this paper we
explicitly describe a minimal S-graded free resolution of the semigroup algebra k [S] when S …

In Peeva and Sturmfels, the authors introduce a new notion of genericity for lattice ideals;
however, the deterministic construction of this kind of “generic lattice ideals” with prescribed …

In this paper, we study a family of binomial ideals defining monomial curves in the n-
dimensional affine space determined by n hypersurfaces of the form in with. We prove that …

In [11], the authors introduce a new notion of genericity for lattice ideals; however, the
deterministic construction of this kind of “generic lattice ideals” with prescribed properties …