10 citations · 17 across the 6 of their papers we have counts for
8 papers
On the global dimension three endomorphism algebras of the minimal generator-cogenerator
Edson Ribeiro Alvares, Clezio Aparecido Braga, Sonia Trepode +1
The main goal of this paper is to study the class of algebras for which the global dimension of the endomorphism ring of the generator-cogenerator, given by the sum of the projecti…
Stratifying Systems via a Nested Family of Torsion Pairs
Edson Ribeiro Alvares, Matheus Vinicius dos Santos
In this paper, we introduce the notion of a nested family of torsion pairs. We show that every stratifying system induces a nested family of torsion pairs and, conversely, that suc…
The braid group action on exceptional sequences for weighted projective lines
Edson R. Alvares, Eduardo N. Marcos, Hagen Meltzer
We give a new and intrinsic proof of the transitivity of the braid group action on the set of full exceptional sequences of coherent sheaves on a weighted projective line. We do no…
(m,n)-Quasitilted and (m,n)-Almost Hereditary Algebras
Diane Castonguay, Edson Ribeiro Alvares, Patrick Le Meur +1
Motivated by the study of (m,n)-quasitilted algebras, which are the piecewise hereditary algebras obtained from quasitilted algebras of global dimension two by a sequence of (co)ti…
Cohomology of partial smash products
Edson Ribeiro Alvares, Marcelo Muniz Alves, Maria Julia Redondo
We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations and with the partial au…
Shapes of Auslander-Reiten Triangles
Edson Ribeiro Alvares, Sônia Maria Fernandes, Hernán Giraldo
Our main theorem classifies the Auslander-Reiten triangles according to properties of the morphisms involved. As a consequence, we are able to compute the mapping cone of an irredu…
The strong global dimension of piecewise hereditary algebras
Edson Ribeiro Alvares, Patrick Le Meur, Eduardo N. Marcos
Let T be a tilting object in a triangulated category equivalent to the bounded derived category of a hereditary abelian category with finite dimensional homomorphism spaces and spl…
Partial Hopf module categories
Edson R. Alvares, Marcelo M. S. Alves, Eliezer Batista
The effectiveness of the aplication of constructions in -graded -categories to the computation of the fundamental group of a finite dimensional -algebra, alongside with op…