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dc.contributor.authorEriksen, Eivind
dc.contributor.authorSiqveland, Arvid
dc.date.accessioned2021-04-19T11:28:14Z
dc.date.available2021-04-19T11:28:14Z
dc.date.created2020-01-15T17:14:24Z
dc.date.issued2019
dc.identifier.citationJournal of Algebra. 2019, 547 162-172.en_US
dc.identifier.issn0021-8693
dc.identifier.urihttps://hdl.handle.net/11250/2738365
dc.description.abstractWe consider the algebra O(M) of observables and the (formally) versal morphism η : A → O(M) defined by the noncommutative deformation functor DefM of a family M = {M1, . . . , Mr} 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, M 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 O-construction is a closure operation when A is any finitely generated k-algebra and M is any family of finite dimensional A-modules, in the sense that ηB : B → OB(M) is an isomorphism when B = O(M) and M is considered as a family of B-modules.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no*
dc.titleThe algebra of observables in noncommutative deformation theoryen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionacceptedVersionen_US
dc.source.pagenumber162-172en_US
dc.source.volume547en_US
dc.source.journalJournal of Algebraen_US
dc.identifier.doi10.1016/j.jalgebra.2019.10.057
dc.identifier.cristin1774194
cristin.unitcode158,3,0,0
cristin.unitnameInstitutt for samfunnsøkonomi
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
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