左三角范畴的幂等完备化与余稳定化

The Idempotent Completion and Costabilization of a Left Trangulated Category

设(,Ω,Δ)是一个左三角范畴,(■,■,■)与(■,■,■)分别是(,Ω,Δ)的先幂等完备化再余稳定化(三角化)和先余稳定化(三角化)再幂等完备化后得到的三角范畴,则这两个范畴是三角等价的.

Let （,Ω,Δ） be a left triangulated category.IfR,Ω,Δ）denotes the costabilization of the idempotent completion of （,Ω,Δ） and（R,Ω,Δ） denotes the idempotent completion of the costabilization of （,Ω,Δ）. Then they have the main theorem （R,Ω,Δ）≌（R,Ω,Δ） as a triangle-equivalence.