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math.RT2024
On Weak Universal Deformation Rings for Objects of EXT-FINITE Categories of Modules
Diego H. Lopez-Garcia, Pedro Rizzo, Jose A. Velez-Marulanda
Let $\A$ be a $\k$-algebra where $\k$ a field of arbitrary characteristic, and let $\mathscr{A}_\k$ be a full subcategory of $\A$-Mod, the abelian category of left $\A$-modules.Fol…
math.RT2024
On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type
Jhony F. Caranguay-Mainguez, Pedro Rizzo, Jose A. Velez-Marulanda
Let be an algebraically closed field. Recently, K. Erdmann classified the symmetric -algebras of finite representation type such that every non-project…
math.RT2024
Cochain complexes over an endofunctor
Germán Benitez, Pedro Rizzo
We introduce the categories of left and right complexes for (additive) endofunctors over an additive category . These categories unify the definitions of complexes ove…