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.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Kalle Kaarli
Waldhauser Tamás
Dokumentumtípus: Cikk
Megjelent: 2021
Sorozat:COMMUNICATIONS IN ALGEBRA 49 No. 4
Tárgyszavak:
doi:10.1080/00927872.2020.1837850

mtmt:31733079
Online Access:http://publicatio.bibl.u-szeged.hu/28140

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