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On support varieties and tensor products for finite dimensional algebras

dc.contributor.authorBergh, Petter Andreas
dc.contributor.authorSandøy, Mads Hustad
dc.contributor.authorSolberg, Øyvind
dc.date.accessioned2021-02-23T08:37:13Z
dc.date.available2021-02-23T08:37:13Z
dc.date.created2020-01-13T10:46:31Z
dc.date.issued2020
dc.identifier.citationJournal of Algebra. 2020, 547 226-237.en_US
dc.identifier.issn0021-8693
dc.identifier.urihttps://hdl.handle.net/11250/2729657
dc.description.abstractIt has been asked whether there is a version of the tensor product property for support varieties over finite dimensional algebras defined in terms of Hochschild cohomology. We show that in general no such version can exist. In particular, we show that for certain quantum complete intersections, there are modules and bimodules for which the variety of the tensor product is not even contained in the variety of the one-sided module.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleOn support varieties and tensor products for finite dimensional algebrasen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.source.pagenumber226-237en_US
dc.source.volume547en_US
dc.source.journalJournal of Algebraen_US
dc.identifier.doi10.1016/j.jalgebra.2019.10.059
dc.identifier.cristin1771183
dc.description.localcode© 2019 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).en_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode2


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