6 papers · 1 filter
On universal deformation rings and stable homogeneous tubes
Jhony F. Caranguay-Mainguez, Pedro Rizzo, Jose A. Velez-Marulanda
Let be a field of any characteristic and let be a finite dimensional -algebra. We prove that if is a finite dimensional right -module that lies…
Universal deformation rings of a special class of modules over generalized Brauer tree algebras
Jhony F. Caranguay-Mainguez, Pedro Rizzo, José A. Vélez-Marulanda
Let be an algebraically closed field and a generalized Brauer tree algebra over . We compute the universal deformation rings of the periodic string modules over…
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…
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…
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…
A partial classification of simple regular representations of bimodules type over
Hernán Giraldo, David Reynoso-Mercado, Pedro Rizzo
In this paper, we use Galois descent techniques to find suitable representatives of the regular simple representations of the species of type over $k_n := k[\varepsilon^{1/…