supported by a grant from Institute for Research in Fundamental Sciences(IPM)(Grant No.98130021)。
Using a relative version of Auslander’s formula,we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution.This,in particular,implies that the bound...
supported by National Natural Science Foundation of China(Grant Nos.11271251 and 11431010)
We clarify the relation between the subcategory D_(hf)~b(A) of homological finite objects in D^b(A)and the subcategory K^b(P) of perfect complexes in D^b(A), by giving two classes of abelian categories A with enough p...
Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory...