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math.AC2024
Minimal Free Resolutions of Edge Ideals of Edge-Weighted Complete Bipartite Graphs
Bethany Kubik, Denise Rangel Tracy, Keri Ann Sather-Wagstaff
We explicitly describe cellular minimal free resolutions of certain classes of edge ideals of weighted complete bipartite graphs based on a construction of Visscher. Specifically,…
math.AC2016
Detecting Koszulness and related homological properties from the algebra structure of Koszul homology
Amanda Croll, Roger Dellaca, Anjan Gupta +6
Let be a field and a standard graded -algebra. We denote by the homology algebra of the Koszul complex on a minimal set of generators of the irrelev…
math.AC2014
Filtrations of Totally Reflexive Modules
Denise A. Rangel Tracy
In this paper, we will introduce a subcategory of totally reflexive modules that have a saturated filtration by other totally reflexive modules. We will prove these are precisely t…