Hochschild cohomology of triangular string algebras and its ring structure

TL;DR

This paper computes the Hochschild cohomology groups of triangular string algebras and demonstrates that their ring structure is trivial, providing insights into their algebraic properties.

Contribution

It introduces the explicit calculation of Hochschild cohomology for triangular string algebras and reveals the triviality of their ring structure, a novel result in this context.

Findings

Hochschild cohomology groups are explicitly computed.

The ring structure of these cohomology groups is shown to be trivial.

Provides new understanding of the algebraic structure of triangular string algebras.

Abstract

We compute the Hochschild cohomology groups $\HH^*(A)$ in case $A$ is a triangular string algebra, and show that its ring structure is trivial.