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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 |