Cochain complexes over a functor

G Benitez, P Rizzo - arXiv preprint arXiv:2403.18834, 2024 - arxiv.org
In this paper we propose unifying the categories of cochain complexes $\text {Ch}(\mathcal
{C}) $ and modules $\widehat {A}\text {-mod} $ over a repetitive algebra $\widehat {A} …

A note on deformations of finite dimensional modules over -algebras

JA Vélez-Marulanda, P Rizzo - arXiv preprint arXiv:2305.08838, 2023 - arxiv.org
Let $\mathbb {k} $ be a field, and let $\Lambda $ be a (not necessarily finite dimensional)
$\mathbb {k} $-algebra. Let $ V $ be a left $\Lambda $-module such that is finite dimensional …