16 citations · 88 across the 33 of their papers we have counts for
35 papers
Happel's question, Han's conjecture and -Hochschild (co)homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
We introduce the -Hochschild (co)homology of a finite dimensional associative algebra by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global…
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…
Han's conjecture for bounded extensions
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
Let be a left or right bounded extension of finite dimensional algebras. We use the Jacobi-Zariski long nearly exact sequence to show that satisfies Han's conjectu…
Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology
Claude Cibils, Eduardo N. Marcos
Let be a group acting on a small category over a field , that is is a --category. We first obtain that is resolvable by a catego…