10 citations · 17 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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…