dc.contributor.author | Eriksen, Eivind | |
dc.contributor.author | Siqveland, Arvid | |
dc.date.accessioned | 2020-02-18T13:00:49Z | |
dc.date.available | 2020-02-18T13:00:49Z | |
dc.date.created | 2020-01-15T17:14:24Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Journal of Algebra. 2019, 547, 162-172. | en_US |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | https://hdl.handle.net/11250/2642315 | |
dc.description.abstract | We consider the algebra of observables and the (formally) versal morphism defined by the noncommutative deformation functor of a family of right modules over an associative k-algebra A. By the Generalized Burnside Theorem, due to Laudal, η is an isomorphism when A is finite dimensional, is the family of simple A-modules, and k is an algebraically closed field. The purpose of this paper is twofold: First, we prove a form of the Generalized Burnside Theorem that is more general, where there is no assumption on the field k. Secondly, we prove that the -construction is a closure operation when A is any finitely generated k-algebra and is any family of finite dimensional A-modules, in the sense that is an isomorphism when and is considered as a family of B-modules | en_US |
dc.language.iso | eng | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | The algebra of observables in noncommutative deformation theory | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 162-172 | en_US |
dc.source.volume | 547 | en_US |
dc.source.journal | Journal of Algebra | en_US |
dc.identifier.doi | 10.1016/j.jalgebra.2019.10.057 | |
dc.identifier.cristin | 1774194 | |
cristin.unitcode | 222,58,6,0 | |
cristin.unitname | Institutt for realfag og industrisystemer | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |