4 papers
From the homotopy category of projective modules over gentle algebras to poset representations
Germán Benitez, Gustavo Costa
In [BCP24], the authors describe a triangulated structure of a quotient of a certain category of representations of posets, nowadays known as the Bondarenko's category. This catego…
Lie 2-algebras of toral rank 3
Germán Benitez, Carlos R. Payares Guevara, Elkin O. Quintero Vanegas
In this paper we study Lie 2-algebras over an algebraically closed field of characteristic two, which have a triangulable Cartan subalgebra, and derive some general properties of c…
Triangulated structure for Bondarenko's Categories
Germán Benitez, Gustavo Costa, Lucas Q. Pinto
V. Bondarenko and Y. Drozd gives a description of all indecomposable objects in a category of representations of posets, nowadays known as the Bondarenko's category. This category…
Cochain complexes over a functor
Germán Benitez, Pedro Rizzo
In this paper we propose unifying the categories of cochain complexes and modules over a repetitive algebra . Motivat…