4 citations · 9 across the 9 of their papers we have counts for
10 papers
A representation embedding for algebras of infinite type
Raymundo Bautista Ramos, Jesús Efrén Pérez Terrazas, Leonardo Salmerón Castro
We show that for any finite-dimensional algebra of infinite representation type, over a perfect field, there is a bounded principal ideal domain and a representation embedd…
-algebras and their twisted modules
Raymundo Bautista, Efrén Pérez, Leonardo Salmerón
We give an intrinsic characterization of the closure under shifts of a given strictly unital -category . We study some arithmetical propertie…
Differential graded bocses and -modules
R. Bautista, E. Pérez, L. Salmerón
We introduce and study the category of twisted modules over a triangular differential graded bocs. We show that in this category idempotents split, that it admits a natural structu…
Representations and corepresentations of -equipped posets
Raymundo Bautista, Ivon Dorado
For a prime number and a -equipped finite partially ordered set we construct two different right-peak algebras (in the sense of \cite{KS}) and $Λ^{(c…
Tame and wild theorem for the category of filtered by standard modules
R. Bautista, E. Pérez, L. Salmerón
We introduce the notion of interlaced weak ditalgebras and apply reduction procedures to their module categories to prove a tame-wild dichotomy for the category of $Δ…
The bounded derived categories of an algebra with radical squared zero
Raymundo Bautista, Shiping Liu
Let $\La$ be an elementary locally bounded linear category over a field with radical squared zero. We shall show that the bounded derived category $D^b(\ModbLa)$ of finitely suppor…
Tensor algebras and decorated representations
Raymundo Bautista, Daniel López-Aguayo
In arXiv:1506.05880 we gave a generalization of the theory of quivers with potentials introduced by Derksen-Weyman-Zelevinsky, via completed tensor algebras over -bimodules wher…
Potentials for some tensor algebras
Raymundo Bautista, Daniel López-Aguayo
This paper generalizes former works of Derksen, Weyman and Zelevinsky about quivers with potentials. We consider semisimple finite-dimensional algebras over a field , such t…
Algebraically equipped posets
Raymundo Bautista, Ivon Dorado
We introduce partially ordered sets (posets) with an additional structure given by a collection of vector subspaces of an algebra . We call them algebraically equipped posets. S…
Representation Theory of an Infinite Quiver
Raymundo Bautista, Shiping Liu, Charles Paquette
This paper deals with the representation theory of a locally finite quiver in which the number of paths between any two given vertices is finite. We first study some properties of…