41 citations · 44 across the 15 of their papers we have counts for
21 papers
Regular sequences of linear forms on monomial ideals
Louiza Fouli, Tài Huy Hà, Susan Morey
In this paper we establish a means of using the combinatorics associated to a general monomial ideal in a polynomial ring to find a regular sequence of linear forms on $R/I…
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…
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…
Regular Sequences On Squares Of Monomial Ideals
Louiza Fouli, Tài Huy Hà, Susan Morey
We use initially regular sequences that consist of linear sums to explore the depth of , when is a monomial ideal in a polynomial ring . We give conditions under whic…
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…