19 citations · 20 across the 9 of their papers we have counts for
5 papers · 1 filter
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,…
Path Ideals of Weighted Graphs
Bethany Kubik, Sean Sather-Wagstaff
We introduce and study the weighted -path ideal of a weighted graph , which is a common generalization of Conca and De Negri's -path ideal for unweighted graphs and Paul…
Homology of artinian and mini-max modules, II
Bethany Kubik, Micah Leamer, Sean Sather-Wagstaff
Let R be a commutative ring, and let L and L' be R-modules. We investigate finiteness conditions (e.g., noetherian, artinian, mini-max, Matlis reflexive) of the modules Ext^i_R(L,L…
Quasidualizing Modules
Bethany Kubik
We introduce and study "quasidualizing" modules. An artinian R-module T is quasidualizing if the homothety map \hat R\rightarrow Hom(T,T) is an isomorphism and Ext_R^i(T,T)=0 for e…
Homology of artinian and Matlis reflexive modules, I
Bethany Kubik, Micah J. Leamer, Sean Sather-Wagstaff
Let R be a commutative local noetherian ring, and let L and L' be R-modules. We investigate the properties of the functors Tor_i^R(L,-) and Ext^i_R(L,-). For instance, we show the…