Lucrecia Román

activity

20132022

most citedGerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras

14 citations · 14 across the 4 of their papers we have counts for

collaborators

5 papers

math.RA2022

The Ext-algebra for infinitesimal deformations

María Julia Redondo, Lucrecia Román, Fiorela Rossi Bertone

Let $f$ be a Hochschild $2$ -cocycle and let $A_{f}$ be an infinitesimal deformation of an associative finite dimensional algebra $A$ over an algebraically closed field $k$ . We in…

math.RA2020

Morita invariance for infinitesimal deformations

María Julia Redondo, Lucrecia Román, Fiorela Rossi Bertone +1

Let $A$ and $B$ be two Morita equivalent finite dimensional associative algebras over a field $k$ . It is well known that Hochschild cohomology is invariant under Morita equival…

math.RA2016

Comparison morphisms between two projective resolutions of monomial algebras

Maria Julia Redondo, Lucrecia Roman

We construct comparison morphisms between two well-known projective resolutions of a monomial algebra $A$ : the bar resolution and Bardzell's resolution; the first one is used to de…

math.RA2015★ 14 cited

Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras

Maria Julia Redondo, Lucrecia Roman

We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH* $(A)$ when $A$ is a quadratic string algebra. First we compute the Hochschild cohomology groups using…

math.RT2013

Hochschild cohomology of triangular string algebras and its ring structure

Maria Julia Redondo, Lucrecia Roman

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