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- W2542308857 abstract "Using the Morita-type embedding, we show that any exact category with enough projectives has a realization as a (pre)resolving subcategory of a module category. When the exact category has enough injectives, the image of the embedding can be described in terms of Wakamatsu tilting (=semi-dualizing) subcategories. If moreover the exact category has higher kernels, then its image coincides with the category naturally associated with a cotilting subcategory up to summands. We apply these results to the representation theory of artin algebras. In particular, we show that the ideal quotient of a module category by a functorially finite subcategory closed under submodules is a torsionfree class of some module category." @default.
- W2542308857 created "2016-11-04" @default.
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- W2542308857 date "2017-09-01" @default.
- W2542308857 modified "2023-10-02" @default.
- W2542308857 title "Classifying exact categories via Wakamatsu tilting" @default.
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- W2542308857 doi "https://doi.org/10.1016/j.jalgebra.2017.04.024" @default.
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