dc.contributor.author | Steen, Johan | |
dc.contributor.author | Stevenson, Greg | |
dc.date.accessioned | 2019-09-13T08:12:30Z | |
dc.date.available | 2019-09-13T08:12:30Z | |
dc.date.created | 2017-10-31T11:15:49Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Documenta Mathematica. 2017, 22 (2017), 1031-1062. | nb_NO |
dc.identifier.issn | 1431-0635 | |
dc.identifier.uri | http://hdl.handle.net/11250/2616718 | |
dc.description.abstract | Given a fixed tensor triangulated category S we consider triangulated categories T together with an S-enrichment which is compatible with the triangulated structure of T. It is shown that, in this setting, an enriched analogue of Brown representability holds when both S and T are compactly generated. A natural class of examples of such enriched triangulated categories are module categories over separable monoids in S. In this context we prove a version of the Eilenberg–Watts theorem for exact coproduct and copower preserving S-functors, i.e., we show that any such functor between the module categories of separable monoids in S is given by tensoring with a bimodule. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Deutsche Mathematiker-Vereinigung e.V., Berlin | nb_NO |
dc.relation.uri | https://www.math.uni-bielefeld.de/documenta/vol-22/30.pdf | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Enrichment and Representability for Triangulated Categories | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 1031-1062 | nb_NO |
dc.source.volume | 22 | nb_NO |
dc.source.journal | Documenta Mathematica | nb_NO |
dc.source.issue | 2017 | nb_NO |
dc.identifier.cristin | 1509245 | |
dc.relation.project | Norges forskningsråd: 231000 | nb_NO |
dc.description.localcode | Open Access. Creative commons license CC BY 4.0. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |