dc.contributor.author | Bergh, Petter Andreas | |
dc.contributor.author | Thompson, Peder | |
dc.date.accessioned | 2021-02-25T11:09:38Z | |
dc.date.available | 2021-02-25T11:09:38Z | |
dc.date.created | 2021-01-13T14:45:59Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Journal of Algebra and its Applications. 2020, . | en_US |
dc.identifier.issn | 0219-4988 | |
dc.identifier.uri | https://hdl.handle.net/11250/2730347 | |
dc.description.abstract | For a commutative ring S and self-orthogonal subcategory C of Mod(S), we consider matrix factorizations whose modules belong to C. Let f∈S be a regular element. If f is M-regular for every M∈C, we show there is a natural embedding of the homotopy category of C-factorizations of f into a corresponding homotopy category of totally acyclic complexes. Moreover, we prove this is an equivalence if C is the category of projective or flat-cotorsion S-modules. Dually, using divisibility in place of regularity, we observe there is a parallel equivalence when C is the category of injective S-modules. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | World Scientific Publishing | en_US |
dc.title | Matrix factorizations for self-orthogonal categories of modules | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 0 | en_US |
dc.source.journal | Journal of Algebra and its Applications | en_US |
dc.identifier.doi | 10.1142/S0219498821500377 | |
dc.identifier.cristin | 1870752 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |