Supported by the National Natural Science Foundation of China(11401476); Supported by the Project for Universities of Gansu Province(2015A-019)
As a proper setting to study Gorenstein projective and injective dimensions of modules via vanishing of Gorenstein Ext-functors, a notion of a generalized Gorenstein ring is introduced, which is a non-trivial generali...
Supported by the National Natural Science Foundation of China(11361051); Supported by the Program for New Century Excellent the Talents in University(NCET-13-0957)
In this paper, we study some properties of n-strongly Gorenstein projective,injective and flat modules, and discuss some connections between n-strongly Gorenstein injective, projective and flat modules. Some applicati...
Supported by the NNSF of China(10901129);Supported by the SRFDP(20096203120001)
In this paper, we mainly investigate some properties of strongly n-Gorenstein projective, injective and flat modules under the extension of rings, which mainly including excellent extensions, morita equivalences, poly...