On separability problem for circulant S-rings
| Autor: | Evdokimov, Sergei, Ponomarenko, Ilya |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Algebra and Analysis, 28, No. 1 (2016), 46-65 |
| Druh dokumentu: | Working Paper |
| Popis: | A Schur ring (S-ring) over a group $G$ is called separable if every of its similaritities is induced by isomorphism. We establish a criterion for an S-ring to be separable in the case when the group $G$ is cyclic. Using this criterion, we prove that any S-ring over a cyclic $p$-group is separable and that the class of separable circulant S-rings is closed with respect to duality. Comment: 16 pages |
| Databáze: | arXiv |
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