7 citations · 8 across the 29 of their papers we have counts for
4 papers · 1 filter
A family of simplicial resolutions which are DG-algebras
James Cameron, Trung Chau, Sarasij Maitra +1
Each monomial ideal over a polynomial ring admits a free resolution which has the structure of a DG-algebra, namely, the Taylor resolution. A pivot resolution of a monomial ideal,…
Monomial ideals with minimal generalized Barile-Macchia resolutions
Trung Chau, Huy Tai Ha, Aryaman Maithani
We identify several classes of monomial ideals that possess minimal generalized Barile-Macchia resolutions. These classes of ideals include generic monomial ideals, monomial ideals…
Minimal cellular resolutions of powers of graphs
Trung Chau, Tài Huy Hà, Aryaman Maithani
Let be a connected graph and let denote its edge ideal. We classify when , for , admits a minimal Lyubeznik resolution. We also give a characterization…
Minimal Cellular Resolutions of Path Ideals
Trung Chau, Selvi Kara, Kyle Wang
In this paper, we prove that the path ideals of both paths and cycles have minimal cellular resolutions. Specifically, these minimal free resolutions coincide with the Barile-Macch…