Upper recollements and triangle expansions

Citation
Yin, You Qi et Gao, Nan, Upper recollements and triangle expansions, Acta mathematica Sinica. English series (Print) , 32(11), 2016, pp. 1323-1336
ISSN journal
14398516
Volume
32
Issue
11
Year of publication
2016
Pages
1323 - 1336
Database
ACNP
SICI code
Abstract
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.