For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

In this paper we consider the class of absolutely pure and Fp-injective quasi-coherent
sheaves. We show that these two classes of quasi-coherent sheaves over a locally coherent …

In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …

We introduce weakly FP-injective and weakly flat functors, and we show that a right R-
module K is FP-injective if and only if (−, K) is a flat weakly FP-injective functor in ((\rm mod …

arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …

Throughout R is an associative ring with identity and all modules are unitary. Unless stated
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …

ON REFLEXIVE MODULES OVER COMMUTATIVE RINGS 1. Introduction and preliminaries Let
R be a commutative ring and U an R-module. For Page 1 Bull. Korean Math. Soc. 52 (2015), No …