A. Solotar

collaborators

3 papers

math.KT2026

Happel's question, Han's conjecture and $I ¨ $ -Hochschild (co)homology

Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1

We introduce the $I ¨ $ -Hochschild (co)homology of a finite dimensional associative algebra $I^$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the globa…

math.RA2025

Algebraic versions of $T^{2}$ and of $P^{1} \times P^{1}$ 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…

math.RA2025

On the first $I ¨ $ -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 $I ¨ $ -tilting theory, the $I ¨ $ -Hochschild cohomology in degree one of a finite dimensional $k$ -algebra $I^$ , where…

Happel's question, Han's conjecture and I¨-Hochschild (co)homology

Algebraic versions of T2 and of P1×P1 and Hochschild cohomology

On the first I¨-tilting Hochschild cohomology of an algebra

Happel's question, Han's conjecture and $I ¨ $ -Hochschild (co)homology

Algebraic versions of $T^{2}$ and of $P^{1} \times P^{1}$ and Hochschild cohomology

On the first $I ¨ $ -tilting Hochschild cohomology of an algebra