16 citations · 78 across the 23 of their papers we have counts for
8 papers · 1 filter
A note on sequential walks
Ibrahim Assem, María Julia Redondo, Ralf Schiffler
This short note is devoted to motivate and clarify the notion of sequential walk introduced by the authors in a previous work. We also give some applications of this concept.
Han's conjecture and Hochschild homology for null-square projective algebras
Claude Cibils, María Julia Redondo, Andrea Solotar
Let be the class of algebras verifying Han's conjecture. In this paper we analyse two types of algebras with the aim of providing an inductive step towards the proof o…
Hochschild cohomology of triangular string algebras and its ring structure
Maria Julia Redondo, Lucrecia Roman
We compute the Hochschild cohomology groups $\HH^*(A)$ in case is a triangular string algebra, and show that its ring structure is trivial.
On the first Hochschild cohomology group of a cluster-tilted algebra
Ibrahim Assem, Maria Redondo, Ralf Schiffler
Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH^1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relati…
Galois and universal universal coverings of linear categories and fibre products
Claude Cibils, Maria Julia Redondo, Andrea Solotar
Let be a commutative ring. We study the behaviour of coverings of -categories through fibre products and find a criterion for a covering to be Galois or universal.
Combinatorial classification of piecewise hereditary algebras
Marcelo Lanzilotta, Maria Julia Redondo, Rachel Taillefer
We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of…
Covering functors without groups
Jose Antonio de la Peña, Maria Julia Redondo
Coverings in the representation theory of algebras were introduced for the Auslander-Reiten quiver of a representation finite algebra by Riedtmann and later for finite dimensional…
Hochschild cohomology via incidence algebras
Maria Julia Redondo
Given an algebra A we associate an incidence algebra A(Σ) and compare their Hochschild cohomology groups.