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 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…