Michael DeBellevue

activity

20232025

collaborators

Showing math.ACShow all

3 papers · 1 filter

math.AC2025

Extremal behavior of ideals of minors

Trung Chau, Michael DeBellevue, Souvik Dey +2

Let $(R, m, k)$ be either a fiber product or an artinian stretched Gorenstein ring, with $ch (k) \neq = 2$ 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 $k$ of a local ring $(R, m$ , $k)$ appears as a direct summand of syzygy modules, from two perspectives…

math.AC2023

$k$ 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…

Extremal behavior of ideals of minors

Vector space summands of lower syzygies

k Summands of Syzygies over Rings of Positive Burch Index Via Canonical Resolutions

$k$ Summands of Syzygies over Rings of Positive Burch Index Via Canonical Resolutions