In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

In this paper, we extend the notions of n-FP-injective and n-flat modules to that of complexes
which we call n-FP-injective and n-flat complexes, respectively and we show that the class of …

Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

In this paper, we investigate the notions of UX-projective, X-injective and X-flat modules and
give their characterizations, where X is the class of left R-modules. We prove the class of all …

B. Maddox [15] defined absolutely pure modules and derived some interesting properties of
these modules. C. Megibben [17] continued the study of these modules and found more …

ON THE FLATNESS AND INJECTIVITY OF DUAL MODULES (III) Zhaoyong Huang 1.
Introduction Throughout this paper, R is a commutative r Page 1 Bull. Korean Math. Soc. 43 (2006) …

Let R be a commutative ring with a nonzero identity and M an R-module. Set ϕ-tor (M)={x∈
M| sx= 0 for some s∈ R∖ Nil (R)}, if ϕ-tor (M)= M then M is called a ϕ-torsion module. An R …

A ring R is called quasi-Frobenius, briey QF, if R is right or left artinian and right or left self-
injective. In this note we study the new class of modules which generalize the concept of …

A complex C of R-modules is called#-injective if all terms Ci are injective R-modules for i∈
ℤ. In this paper, we first give some characterizations and properties of#-injective complexes …

In this paper, by taking the class of all C 3 (or D 3) right R-modules for general envelopes
and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D 3-covers …