By using the stable t-structure induced by an adjoint pair, we extend several results con- cerning recollements to upper （resp. lower） recollements. These include the fundamental results of Par-shall and Scott on co...By using the stable t-structure induced by an adjoint pair, we extend several results con- cerning recollements to upper （resp. lower） recollements. These include the fundamental results of Par-shall and Scott on comparisons of recollements, Wiedemann＇s result on the global dimension and Hap- pel＇s result on the finitistic dimension, occurring in a recollement （Db（A＇）, Db（A）, Db（A＂）） of bounded derived categories of Artin algebras. We introduce and describe a triangle expansion of a triangulated category and illustrate it by examples.展开更多
基金Supported by National Natural Science Foundation of China(Grant Nos.11271251,11431010 and 11571239)
文摘By using the stable t-structure induced by an adjoint pair, we extend several results con- cerning recollements to upper （resp. lower） recollements. These include the fundamental results of Par-shall and Scott on comparisons of recollements, Wiedemann＇s result on the global dimension and Hap- pel＇s result on the finitistic dimension, occurring in a recollement （Db（A＇）, Db（A）, Db（A＂）） of bounded derived categories of Artin algebras. We introduce and describe a triangle expansion of a triangulated category and illustrate it by examples.
