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Recollements and homological dimensions
Authors:Yongyun Qin
Institution:College of Mathematics and Statistics, Qujing Normal University, Qujing, Yunnan, China
Abstract:We investigate the behavior of the homological dimensions under recollements of derived categories of algebras. In particular, we establish a series of new bounds among the self-injective dimensions or ?-dimensions of the algebras linked by recollements of derived module categories.
Keywords:?-dimension  Igusa–Todorov function  recollements  self-injective dimension
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