This work generalises the short resolution given by Pisón Casares ['The short resolution of a
lattice ideal', Proc. Amer. Math. Soc. 131 (4)(2003), 1081–1091] to any affine semigroup. We …

We characterize when the monomial maximal ideal of a simplicial affine semigroup ring has
a monomial minimal reduction. When this is the case, we study the Cohen–Macaulay and …

The short resolution of a lattice ideal is a free resolution over a polynomial ring whose
number of variables is the number of extremal rays in the associated cone. A combinatorial …

Let $ a $ and $ d $ be two linearly independent vectors in $\mathbb {N}^ 2$, over the field of
rational numbers. For a positive integer $ k\geq 2$, consider the sequence $ a, a+ d,\ldots …

A combinatorial description of the minimal free resolution of a lattice ideal allows us to the
connection of Integer Linear Programming and Algebra. The non null reduced homology …

The main purpose is to present a biographical portrayal of Antonio Campillo López. In
addition to the most relevant aspects of his life and academic career, we offer a panoramic …

In this thesis we describe how the balancing of the Tor functor can be used to compute the
minimal free resolution of a graded module M over the polynomial ring B= K [X0,..., Xm](K a …

A combinatorial description of the minimal free resolution of a lattice ideal allows to the
connection of Integer Lineal Programming and Algebra. The non null reduced homology …

Calculamos cotas para los grados de las sicigias de un ideal de retıculo y en el caso
homogéneo de su regularidad. Las cotas están explicitadas en función de los generadores …