Abstract
In this paper,we study the relations between the class of A-Gorenstein projective modules and the left orthogonal class of A,also the relations between the class of A-Gorenstein injective modules and the right orthogonal class of A.Some functor characterizations of A-Gorenstein projective modules and A-Gorenstein injective modules are obtained.Using the no-tion of complete duality pair,we discuss the relations between A-Gorenstein projective modules and B-Gorenstein flat modules.Some known results are generalized.
基金项目
江苏省"青蓝工程"项目(2022)
国家自然科学基金(11701408)
Jiangsu Provincial Government Scholarship Program()
NETL
NSTL
万方数据