Separable functors and firm modules
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916044217516032 |
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| author | Lundström, Patrik |
| author_facet | Lundström, Patrik |
| contents | We develop a theory of separable ring extensions and separable functors for nonunital rings in the setting of firm modules. We prove nonunital analogues of classical results on functorial separability and semisimplicity, and apply these results to obtain a locally unital version of Maschke's theorem for group rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13417 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Separable functors and firm modules Lundström, Patrik Rings and Algebras Representation Theory We develop a theory of separable ring extensions and separable functors for nonunital rings in the setting of firm modules. We prove nonunital analogues of classical results on functorial separability and semisimplicity, and apply these results to obtain a locally unital version of Maschke's theorem for group rings. |
| title | Separable functors and firm modules |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2602.13417 |