16 citations · 88 across the 33 of their papers we have counts for
15 papers · 1 filter
On the first -tilting Hochschild cohomology of an algebra
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
In this paper we introduce, according to one of the main ideas of -tilting theory, the -Hochschild cohomology in degree one of a finite dimensional -algebra , where …
Strongly stratifying ideals, Morita contexts and Hochschild homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
We consider stratifying ideals of finite dimensional algebras in relation with Morita contexts. A Morita context is an algebra built on a data consisting of two algebras, two bimod…
On of finite dimensional algebras
Claude Cibils
We review results on the first Hochschild cohomology vector space of a finite dimensional algebra, in particular for path algebras modulo a "pre-generated" ideal. In case of a mono…
Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
We describe how the Hochschild (co)homology of a bound quiver algebra changes when adding or deleting arrows to the quiver. The main tools are relative Hochschild (co)homology, the…
The fundamental group of a Hopf linear category
Claude Cibils, Andrea Solotar
We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear ca…
A finite dimensional algebra of the diagram of a knot
Claude Cibils
To a regular projection of a knot we associate a finite dimensional non-commutative associative algebra which is self-injective and special biserial.