3 papers
math.AC2016
Bounding Betti numbers of monomial ideals in the exterior algebra
Marilena Crupi, Carmela Ferro'
Let be a field, a -vector space with basis , and the exterior algebra of . To a given monomial ideal we associate a special monomi…
math.AC2014
Squarefree monomial modules and extremal Betti numbers
Marilena Crupi, Carmela Ferro
Let K be a field and S a polynomial ring in a finite number of variables over K. Let F be a finitely generated graded free S-module. We examine some classes of squarefree monomial…
math.AC2011
Powers of edge ideals
Carmela Ferro, Mariella Murgia, Oana Olteanu
We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti-path, we prove that they have linear qu…