余模的Auslander-Reiten平移OA

Let Γ be a coalgebra over a field k.Further discussion of the functor τ=DTr：MΓqc→ MΓqc is carried out,where MΓqc denotes the full subcategory of MΓ determined by the quasi-finitely copresented comodules.If Γ is a semisimple coalgebra,it is proved that the functor τ：f.d.MΓqc→ f.d.MΓqp is a categories equivalence,where MΓqc（MΓqp） is the injectively（projectively） stable category and f.d.MΓqc（f.d.MΓqp） is the full subcategory of MΓqc（MΓqp） determined by the fini…查看全部>>