dc.contributor.author Eriksen, Eivind dc.contributor.author Siqveland, Arvid dc.date.accessioned 2021-04-19T11:28:14Z dc.date.available 2021-04-19T11:28:14Z 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/11250/2738365 dc.description.abstract We 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.iso eng en_US dc.publisher Elsevier 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 Journal article en_US dc.type Peer reviewed 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 158,3,0,0 cristin.unitname Institutt for samfunnsøkonomi cristin.ispublished true cristin.fulltext postprint cristin.qualitycode 2
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