Twists of graded algebras in monoidal categories
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911983382560768 |
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| author | Lopez, Fernando Liu Walton, Chelsea |
| author_facet | Lopez, Fernando Liu Walton, Chelsea |
| contents | Zhang twists are a common tool for deforming graded algebras over a field in a way that preserves important ring-theoretic properties. We generalize Zhang twists to the setting of closed monoidal categories equipped with their self-enriched structure. Along the way, we prove several key results about algebraic structures in closed monoidal categories missing from the literature. We use these to ultimately prove Morita-type results, showcasing when graded algebras with equivalent categories of graded modules can be related by Zhang twists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18105 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twists of graded algebras in monoidal categories Lopez, Fernando Liu Walton, Chelsea Quantum Algebra Category Theory Rings and Algebras Zhang twists are a common tool for deforming graded algebras over a field in a way that preserves important ring-theoretic properties. We generalize Zhang twists to the setting of closed monoidal categories equipped with their self-enriched structure. Along the way, we prove several key results about algebraic structures in closed monoidal categories missing from the literature. We use these to ultimately prove Morita-type results, showcasing when graded algebras with equivalent categories of graded modules can be related by Zhang twists. |
| title | Twists of graded algebras in monoidal categories |
| topic | Quantum Algebra Category Theory Rings and Algebras |
| url | https://arxiv.org/abs/2311.18105 |