On categorical equivalence of finite p-rings
We prove that finite categorically equivalent p-rings have isomorphic additive groups (in particular, they have the same cardinality) and that the number of generators is a categorical invariant for finite rings. We also classify rings of size p (3) up to categorical equivalence.
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| Main Authors: | |
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| Format: | Article |
| Published: |
2021
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| Series: | COMMUNICATIONS IN ALGEBRA
49 No. 4 |
| Subjects: | |
| doi: | 10.1080/00927872.2020.1837850 |
| mtmt: | 31733079 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/28140 |
| Summary: | We prove that finite categorically equivalent p-rings have isomorphic additive groups (in particular, they have the same cardinality) and that the number of generators is a categorical invariant for finite rings. We also classify rings of size p (3) up to categorical equivalence. |
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| Physical Description: | 1437-1450 |
| ISSN: | 0092-7872 |