On galois covering of locally torsionless-finite categories
Let $\mathcal{C}$ be a locally support-finite $k$-category with a $G$-action. It is proved that a Galois covering functor $P: \CC \lrt \CC/G$ induces a Galois covering of categories of their torsionless modules. Using this result, we provide a version of Gabriel's theorem for categories of tors...
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| Format: | Article |
| Language: | fas |
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University of Isfahan
2022-11-01
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| Series: | ریاضی و جامعه |
| Subjects: | |
| Online Access: | https://math-sci.ui.ac.ir/article_27255_25bfe2bef2ade72506cdaf636bd3ac8c.pdf |
| Summary: | Let $\mathcal{C}$ be a locally support-finite $k$-category with a $G$-action. It is proved that a Galois covering functor $P: \CC \lrt \CC/G$ induces a Galois covering of categories of their torsionless modules. Using this result, we provide a version of Gabriel's theorem for categories of torsionless modules |
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| ISSN: | 2345-6493 2345-6507 |