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 …

Let n≥ 1 be an integer. A functor F∈(mod-R, Ab) is called n-strongly FP-injective if F is
isomorphic to some functor-⊗ M in (mod-R, Ab) with M an FP n-injective left R-module. A …

In this article, we present $ GPW $-flatness property of acts over monoids, which is a
generalization of principal weak flatness. We say that a right $ S $-act $ A_ {S} $ is $ GPW …

Let R be a ring. A right R-module A is said to be C-flat if the kernel of any epimorphism B→ A
is C-pure in B, ie the induced map Hom (C, B)→ Hom (C, A) is surjective for any cyclic right …

抄録 A complex C is said to be FR-injective (resp., FR-flat) if Ext 1 (D, C)= 0 (resp., $\overline
{Tor} 1 (C, D)= 0) for any finitely represented complex D. We prove that a complex C is FR …

The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties for both classes of rings are closely linked with embedding of finitely presented …

In this paper, we principally explore flat modules over a commutative ring with identity. We
do this in relation to projective and injective modules with the help of derived functors like …

Let $ R $ and $ S $ be rings with unit. Suppose $ P $ is a free $ R $-module on $\beta $
generators, where $\beta $ is an infinite cardinal number not smaller than the cardinality of …

The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties of both classes of rings are closely related to the embedding of finitely presented …

Flat C(JT)-modules and F spaces Page 1 Math. Proc. Camb. Phil. Soc. (1989), 106, 237 2 3
7 Printed in Great Britain Flat C(JT)-modules and F spaces BY CHARLES W. NEVILLE …