Entwined comodules and contramodules over coalgebras with several objects: Frobenius, separability and Maschke theorems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916449572880384 |
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| author | Banerjee, Abhishek Kour, Surjeet |
| author_facet | Banerjee, Abhishek Kour, Surjeet |
| contents | We study module like objects over categorical quotients of algebras by the action of coalgebras with several objects. These take the form of ``entwined comodules'' and ``entwined contramodules'' over a triple $(\mathscr C,A,ψ)$, where $A$ is an algebra, $\mathscr C$ is a coalgebra with several objects and $ψ$ is a collection of maps that ``entwines'' $\mathscr C$ with $A$. Our objective is to prove Frobenius, separability and Maschke type theorems for functors between categories of entwined comodules and entwined contramodules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17852 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entwined comodules and contramodules over coalgebras with several objects: Frobenius, separability and Maschke theorems Banerjee, Abhishek Kour, Surjeet Category Theory 16T15, 18E10 We study module like objects over categorical quotients of algebras by the action of coalgebras with several objects. These take the form of ``entwined comodules'' and ``entwined contramodules'' over a triple $(\mathscr C,A,ψ)$, where $A$ is an algebra, $\mathscr C$ is a coalgebra with several objects and $ψ$ is a collection of maps that ``entwines'' $\mathscr C$ with $A$. Our objective is to prove Frobenius, separability and Maschke type theorems for functors between categories of entwined comodules and entwined contramodules. |
| title | Entwined comodules and contramodules over coalgebras with several objects: Frobenius, separability and Maschke theorems |
| topic | Category Theory 16T15, 18E10 |
| url | https://arxiv.org/abs/2410.17852 |