3 papers
math.AC2025
Extremal behavior of ideals of minors
Trung Chau, Michael DeBellevue, Souvik Dey +2
Let be either a fiber product or an artinian stretched Gorenstein ring, with in the latter case. We prove that the…
math.AC2024
Vector space summands of lower syzygies
Mohsen Asgharzadeh, Michael DeBellevue, Souvik Dey +2
In this paper, we investigate problems concerning when the residue field of a local ring , appears as a direct summand of syzygy modules, from two perspectives…
math.AC2023
Summands of Syzygies over Rings of Positive Burch Index Via Canonical Resolutions
Michael DeBellevue, Claudia Miller
In recent work, Dao and Eisenbud define the notion of a Burch index, expanding the notion of Burch rings of Dao, Kobayashi, and Takahashi, and show that for any module over a ring…