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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.20393 |
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| _version_ | 1866912449580498944 |
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| author | Gaddis, Jason Rosso, Daniele Won, Robert |
| author_facet | Gaddis, Jason Rosso, Daniele Won, Robert |
| contents | We generalize a construction of Bell and Rogalski to realize new examples of $\mathbb{Z}^n$-graded simple rings. This construction also generalizes TGWAs of type $(A_1)^n$. In addition to considering basic properties of these algebras, we provide a classification of weight modules in the setting of torsion-free orbits, study their (twisted) tensor products, and provide a simplicity criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher rank Bell--Rogalski algebras Gaddis, Jason Rosso, Daniele Won, Robert Rings and Algebras Representation Theory We generalize a construction of Bell and Rogalski to realize new examples of $\mathbb{Z}^n$-graded simple rings. This construction also generalizes TGWAs of type $(A_1)^n$. In addition to considering basic properties of these algebras, we provide a classification of weight modules in the setting of torsion-free orbits, study their (twisted) tensor products, and provide a simplicity criterion. |
| title | Higher rank Bell--Rogalski algebras |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2506.20393 |