Gorenstein ( L , A )- 投射模的稳定性

Stability of Gorenstein(L,A)-Projective Modules

设R是有单位元的交换环,(L,A)是完备的对偶对.先引入一种相对于完备对偶对(L,A)的Gore nstein同调模类GP(2)L,再研究GP(2)L的一些性质.最后,借助一些特殊的模类证明GP(2)L与Gorenstein(L,A)-投射模类一致.

Let R be an associative ring with an identity,and(L,A)be a complete duality pair.Firstly,we introduce the class GP(2)L of Gorenstein homological modules with respect to the complete duality pair(L,A).Secondly,we study some proper ties of GP(2)L.Finally,we prove that GP(2)L coincides wi th the class of Gorenstein(L,A)-projective modules with the help of some special classes of modules.