Keri Sather-Wagstaff

activity

20202026

collaborators

9 papers

math.CO2026

Characterization of Well-Totally Dominated Trees

Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff +8

Let $G$ be a graph with no isolated vertices. A set of vertices $S$ is a total dominating set (TDS) if every vertex in $G$ is adjacent to at least one vertex in $S$ . We say $G$ is…

math.AC2025

Open Neighborhood Ideals of Well-Totally Dominated Trees are Cohen-Macaulay

Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff

We introduce and investigate the open neighborhood ideal $N (G)$ of a finite simple graph $G$ . We describe the minimal primary decomposition of $N (G)$ in terms o…

math.AC2025

André-Quillen homology and ascent of complete intersection flat dimensions

Keri Ann Sather-Wagstaff, Tirdad Sharif

Using André-Quillen homology, we prove an ascent result for different types of complete intersection flat dimensions along an essentially of finite type flat local homomorphism wit…

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.AC2022

Basically regular local homomorphisms

Samir Bouchiba, Salah Kabbaj, Keri Sather-Wagstaff

We investigate the transfer of regularity between commutative, noetherian, local rings through a class of local homomorphisms which we call basically regular. We give numerical cha…

math.AC2021

Fidelity results for {DG} modules

Keri Sather-Wagstaff

We investigate notions of support and cosupport for differential graded (DG) modules over DG algebras. We apply these notions to identify certain classes of derived functors that a…

math.AC2021

Closed Neighborhood Ideals of Finite Simple Graphs

Jacob Honeycutt, Keri Sather-Wagstaff

We investigate Sharifan and Moradi's closed neighborhood ideal of a finite simple graph, which is a square-free monomial ideal in a polynomial ring over a field. We explicitly desc…

math.AC2020

Exterior powers and Tor-persistence

Justin Lyle, Jonathan Montaño, Keri Sather-Wagstaff

A commutative Noetherian ring $R$ is said to be Tor-persistent if, for any finitely generated $R$ -module $M$ , the vanishing of $Tor_{i}^{R} (M, M)$ for $i ≫ 0$ implies $M…

math.AC2020

Persistence of homology over commutative noetherian rings

Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh +1

We describe new classes of noetherian local rings $R$ whose finitely generated modules $M$ have the property that $T o r_{i}^{R} (M, M) = 0$ for $i ≫ 0$ implies that $M$ has finite projecti…