dc.contributor.author |
Eryashkin M. |
|
dc.date.accessioned |
2018-09-19T20:54:49Z |
|
dc.date.available |
2018-09-19T20:54:49Z |
|
dc.date.issued |
2016 |
|
dc.identifier.issn |
1066-369X |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/143415 |
|
dc.description.abstract |
© 2016, Allerton Press, Inc.We consider an action of a finite-dimensional Hopf algebra H on a PI-algebra. We prove that an H-semiprime H-module algebra A has a Frobenius artinian classical ring of quotients Q, provided that A has a finite set of H-prime ideals with zero intersection. The ring of quotients Q is an H-semisimple H-module algebra and a finitely generated module over the subalgebra of central invariants. Moreover, if algebra A is a projective module of constant rank over its center, then A is integral over its subalgebra of central invariants. |
|
dc.relation.ispartofseries |
Russian Mathematics |
|
dc.subject |
Hopf algebra |
|
dc.subject |
PI-algebra |
|
dc.subject |
ring of quotients |
|
dc.subject |
theory of invariants |
|
dc.title |
Invariants and rings of quotients of H-semiprime H-module algebras satisfying a polynomial identity |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
5 |
|
dc.relation.ispartofseries-volume |
60 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
18 |
|
dc.source.id |
SCOPUS1066369X-2016-60-5-SID84971278451 |
|