14 citations · 32 across the 10 of their papers we have counts for
9 papers · 1 filter
Stable Coherent Systems
Rodrigo Iglesias, Fatemeh Mohammadi, Patricia Pascual-Ortigosa +2
We describe the notion of stability of coherent systems as a framework to deal with redundancy. We define stable coherent systems and show how this notion can help the design of re…
Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals
Rodrigo Iglesias, Eduardo Sáenz-de-Cabezón
We prove that the Pommaret-Seiler resolution for quasi-stable ideals is cellular and give a cellular structure for it. This shows that this resolution is a generalization of the we…
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
Manuel González-Sarabia, Humberto Muñoz-George, Jorge A. Ordaz +2
For projective Reed--Muller-type codes we give a global duality criterion in terms of the v-number and the Hilbert function of a vanishing ideal. As an application, we provide a gl…
Support posets of some monomial ideals
Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón
The support poset of a monomial ideal encodes the relation between the variables and the minimal monomial generators of . I…
Algebraic reliability of multi-state -out-of- systems
Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón, Henry P. Wynn
In this paper we review different definitions that multi-state -out-of- systems have received along the literature and study them in a unified way using the algebra of monomi…
Polarization and depolarization of monomial ideals with application to multistate system reliability
Fatemeh Mohammadi, Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón +1
We study the family of depolarizations of a squarefree monomial ideal , i.e. all monomial ideals whose polarization is . We describe a method to find all depolarizations of $…