3 citations · 6 across the 18 of their papers we have counts for
23 papers · 1 filter
Cellular resolutions of second powers of square-free monomial ideals with divisibility relations
Susan M. Cooper, Sabine El Khoury, Sara Faridi +3
Using divisibility relations between the generators of a square-free monomial ideal , we describe divisibility relations between the generators of the second power . We the…
Divisibility Relations and -Extremal ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +3
A divisibility relation between the generators of a square-free monomial ideal formally encodes the situation when one generator divides the least common multiple of some other gen…
The Scarf complex and betti numbers of powers of extremal ideals
Sabine El Khoury, Sara Faridi, Liana Sega +1
This paper is concerned with finding bounds on betti numbers and describing combinatorially and topologically (minimal) free resolutions of powers of ideals generated by a fixed nu…
Simplicial Resolutions of Powers of Square-free Monomial Ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
The Taylor resolution is almost never minimal for powers of monomial ideals, even in the square-free case. In this paper we introduce a smaller resolution for each power of any squ…
Powers of graphs & applications to resolutions of powers of monomial ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
This paper is concerned with the question of whether geometric structures such as cell complexes can be used to simultaneously describe the minimal free resolutions of all powers o…
Simplicial resolutions for the second power of square-free monomial ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
Given a square-free monomial ideal , we define a simplicial complex labeled by the generators of which supports a free resolution of . As a consequence, we obtain (sh…