1 citations · 1 across the 4 of their papers we have counts for
5 papers
Algebras Determined by Their Supports
Ibrahim Assem, Diane Castonguay, Marcelo Lanzilotta +1
In this paper, we introduce and study a class of algebras which we call ada algebras. An artin algebra is ada if every indecomposable projective and every indecomposable injective…
Layer lengths, torsion theories and the finitistic dimension
François Huard, Marcelo Lanzilotta, Octavio Mendoza
Let be an artinian ring. Generalizing the Loewy length, we propose the layer length associated with a torsion theory, which is a new measure for finitely generated -modules.
Toupie algebra, some examples of laura algebras
Diane Castonguay, Julie Dionne, François Huard +1
We consider the bound quiver algebras whose ordinary quiver is that of a canonical algebra. We determine which of those algebras are hereditary, tilted, quasitilted, weakly shod or…
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…
Skew group algebras of piecewise hereditary algebras are piecewise hereditary
Julie Dionne, Marcelo Lanzilotta, David Smith
We show that the main results of Happel-Rickard-Schofield (1988) and Happel-Reiten-Smalo (1996) on piecewise hereditary algebras are coherent with the notion of group action on an…