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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2202.01199 |
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| _version_ | 1866910367364415488 |
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| author | Redondo, María Julia Román, Lucrecia Bertone, Fiorela Rossi |
| author_facet | Redondo, María Julia Román, Lucrecia Bertone, Fiorela Rossi |
| 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 $\mod A_f$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_01199 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Ext-algebra for infinitesimal deformations Redondo, María Julia Román, Lucrecia Bertone, Fiorela Rossi Rings and Algebras 16S80, 16E05, 16E30 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 $\mod A_f$. |
| title | The Ext-algebra for infinitesimal deformations |
| topic | Rings and Algebras 16S80, 16E05, 16E30 |
| url | https://arxiv.org/abs/2202.01199 |