The left and right dimensions of a skew field over the subfield of invariants

dc.contributor.author	Skryabin S.
dc.date.accessioned	2018-09-19T20:13:10Z
dc.date.available	2018-09-19T20:13:10Z
dc.date.issued	2017
dc.identifier.issn	0021-8693
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/142703
dc.description.abstract	© 2017 Elsevier Inc.If H is a Hopf algebra and A an H-module algebra without nontrivial H-stable left or right ideals, then the subalgebra of H-invariant elements AH is a skew field and A may be regarded as a vector space over AH with respect to either left or right multiplications. It is proved in the paper that the left dimension of A over AH is equal to the right dimension under the assumptions that A is semiprimary and dim⁡H<∞. In the case when A is itself a skew field, this answers a question raised by J. Bergen, M. Cohen and D. Fischman.
dc.relation.ispartofseries	Journal of Algebra
dc.subject	Hopf algebras
dc.subject	Hopf module algebras
dc.subject	Invariants
dc.subject	Skew fields
dc.title	The left and right dimensions of a skew field over the subfield of invariants
dc.type	Article
dc.relation.ispartofseries-volume	482
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	248
dc.source.id	SCOPUS00218693-2017-482-SID85017302812

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