Deepak Sireeshan

collaborators

2 papers

math.AC2024

The mapping cone of an Eisenbud operator and applications to exact zero divisors

Liana M. Şega, Deepak Sireeshan

Let $(Q, m, k)$ be a local ring that admits an exact pair of zero divisors $(f, g)$ , $M$ a $Q$ -module with $f M = 0$ and $U$ a free resolution of $M$ over $Q$ . We cons…

math.AC2022

DG module structures and minimal free resolutions modulo an exact zero-divisor

Liana M. Şega, Deepak Sireeshan

Let $Q$ be a local ring with maximal ideal $n$ and let $f, g \in n ∖ n^{2}$ with $f g = 0$ . When $M$ is a finite $Q$ -module with $f M = 0$ , we sho…