Balanced pairs induce recollements |
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| Authors: | Yuefei Zheng |
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| Affiliation: | 1. Department of Applied Mathematics, College of Science, Northwest A&2. F University, Yangling, Shaanxi, China;3. Department of Mathematics, Nanjing University, Nanjing, Jiangsu, Chinayuefeizheng@sina.com |
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| Abstract: | Let 𝒜 be an abelian category with arbitrary (set-indexed) coproducts and exact products. Let (𝒫,?) be a complete balanced pair. Then as in the classical case, we prove that there exists a recollement with the middle term K(𝒜), the homotopy category of 𝒜. In particular, this implies that the relative derived category exists. Two applications are given. |
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| Keywords: | Balanced pair homotopy category recollement |
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