dc.contributor.author |
Skryabin S. |
|
dc.date.accessioned |
2018-09-18T20:22:13Z |
|
dc.date.available |
2018-09-18T20:22:13Z |
|
dc.date.issued |
2011 |
|
dc.identifier.issn |
1386-923X |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/139168 |
|
dc.description.abstract |
Let H be a Hopf algebra over a field. It is proved that every H-semiprime right artinian left H-module algebra A is quasi-Frobenius and H-semisimple. If H grows slower than exponentially, then all H-equivariant A-modules are shown to be A-projective. With the additional assumption that H is cosemisimple it is proved that the Jacobson radical of any right artinian left H-module algebra is stable under the action of H. © 2010 Springer Science+Business Media B.V. |
|
dc.relation.ispartofseries |
Algebras and Representation Theory |
|
dc.subject |
Equivariant modules |
|
dc.subject |
Hopf algebras |
|
dc.subject |
Hopf module algebras |
|
dc.subject |
Quasi-Frobenius rings |
|
dc.title |
Structure of H-semiprime artinian algebras |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
5 |
|
dc.relation.ispartofseries-volume |
14 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
803 |
|
dc.source.id |
SCOPUS1386923X-2011-14-5-SID80052794701 |
|