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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.04436 |
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| _version_ | 1866916829454139392 |
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| author | Smoktunowicz, Agata |
| author_facet | Smoktunowicz, Agata |
| contents | This paper presents a method for constructing flat deformations of associative algebras. We will refer to this method as method two because it is a generalisation of the method obtained in [1].
The deformations obtained using the first two methods are of polynomial type. We also present a third method, for the construction of deformations from N to A, for a semisimple algebra A.
As an applied example, we answer a question posed by Michael Wemyss on deformations of Acons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On constructing deformations of noncommutative algebras Smoktunowicz, Agata Rings and Algebras 16Sxx This paper presents a method for constructing flat deformations of associative algebras. We will refer to this method as method two because it is a generalisation of the method obtained in [1]. The deformations obtained using the first two methods are of polynomial type. We also present a third method, for the construction of deformations from N to A, for a semisimple algebra A. As an applied example, we answer a question posed by Michael Wemyss on deformations of Acons. |
| title | On constructing deformations of noncommutative algebras |
| topic | Rings and Algebras 16Sxx |
| url | https://arxiv.org/abs/2507.04436 |