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Bibliographic Details
Main Authors:	Redondo, María Julia, Román, Lucrecia, Bertone, Fiorela Rossi
Format:	Preprint
Published:	2022
Subjects:	Rings and Algebras 16S80, 16E05, 16E30
Online Access:	https://arxiv.org/abs/2202.01199
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Table of Contents:

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 $\Bbbk$. We investigate the algebra structure of the Ext-algebra of $A_f$ and, under some conditions on $f$, we describe it in terms of the Ext-algebra of $A$. We achieve this description by getting an explicit construction of minimal projective resolutions in $\mod A_f$.