扩大(G,H)-分次环上的投射模

The Projective Modules of Augmented (G,H)-graded Rings

讨论扩大(G,H)-分次环上投射模的性质,得到扩大(G,H)-分次R-模范畴R(G,H)-Agr是个有足够多投射对象的Abel范畴,以及P是Agr-投射模当且仅当P是投射R-模等结论.

Discusses the properties of projective modules of augmented （G, H） -graded rings, obtains that R（G,H）-Agr is an Abelian category with enough projective objects, and gets that P is an Agr-projective module if and only if P_ is an projective R-module.