科研之友
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摘要
By using the stable t-structure induced by an adjoint pair, we extend several results concerning recollements to upper (resp. lower) recollements. These include the fundamental results of Parshall and Scott on comparisons of recollements, Wiedemann's result on the global dimension and Happel's result on the finitistic dimension, occurring in a recollement (D-b (A'),D-b (A),D-b (A '')) of bounded derived categories of Artin algebras. We introduce and describe a triangle expansion of a triangulated category and illustrate it by examples.
