16 citations · 101 across the 41 of their papers we have counts for
51 papers
Algebraic versions of and of and Hochschild cohomology
Vladimir Dotsenko, Andrea Solotar
We examine the Hochschild cohomology for triangular algebras that capture some aspects of geometry and topology of the torus and of the quadric surface, and for deformations of the…
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 …
The Hochschild cohomology ring of monomial algebras
Dalia Artenstein, Janina C. Letz, Amrei Oswald +1
We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomo…
The Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras
Cristian Chaparro, Sibylle Schroll, Andrea Solotar +1
The Tamarkin Tsygan calculus of a finite dimensional algebra is a differential calculus given by the comprehensive data of the Hochschild cohomology, its structure both as a graded…
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…