dc.contributor.author |
Skryabin S. |
|
dc.date.accessioned |
2018-09-18T20:05:48Z |
|
dc.date.available |
2018-09-18T20:05:48Z |
|
dc.date.issued |
2011 |
|
dc.identifier.issn |
0024-6093 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/136460 |
|
dc.description.abstract |
We consider a finite algebra A over a commutative ring R. It is assumed that R is an algebra over the ground field k and that a cocommutative Hopf algebra H acts on R and A in a compatible way. This paper answers the question as to when it is possible to find a ring extension R→R′ such that the R′-algebra A⊗ RR′ is isomorphic with A0⊗ kR′ for some k-algebra A 0 and the ring R′⊗ RR p is faithfully flat over the local ring R p either for a single prime ideal p of R containing no H-stable ideals of R or for all such primes. If k is algebraically closed, it is shown that A has isomorphic reductions modulo any pair of maximal ideals of R with residue field k containing the same H-stable ideals of R. © 2011 London Mathematical Society. |
|
dc.relation.ispartofseries |
Bulletin of the London Mathematical Society |
|
dc.title |
Local triviality of equivariant algebras |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
2 |
|
dc.relation.ispartofseries-volume |
43 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
364 |
|
dc.source.id |
SCOPUS00246093-2011-43-2-SID79952961165 |
|