We show that a short exact sequence of abelian categories gives rise to short exact sequences of abelian categories of complexes, homotopy categories and unbounded derived categories, refining a result of J. Miyachi.
Citation: Yilin Wu, Guodong Zhou. From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories[J]. Electronic Research Archive, 2022, 30(2): 535-564. doi: 10.3934/era.2022028
We show that a short exact sequence of abelian categories gives rise to short exact sequences of abelian categories of complexes, homotopy categories and unbounded derived categories, refining a result of J. Miyachi.
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Yilin Wu, Guodong Zhou. From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories[J]. Electronic Research Archive, 2022, 30(2): 535-564. doi: 10.3934/era.2022028
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