Recollements,idempotent completions and t-structures of triangulated categories |
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Authors: | Qinghua Chen Lidan Tang |
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Affiliation: | 1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, PR China;2. School of Mathematical Science, Xiamen University, Xiamen 361005, PR China |
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Abstract: | We first prove that the idempotent completion of a right or left recollement of triangulated categories is still a right or left recollement, then show that the t-structure on a triangulated category is compatible with taking idempotent completion. Finally, an application of the main theorem is given, which is focused on the boundedness and nondegeneration of the t-structure induced by a recollement and its idempotent completion. |
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