868 MARTINEZ HERNANDEZ where F'is a flat and F-divisible module, can be completed
commutatively. b) The diagram can be completed only by means of autornorphisms of F. In …

It is proven that the weak dimension of each FP-injective module over a chain ring which is
either Archimedean or not semicoherent is less or equal to 2. This implies that the projective …

We prove that for certain classes of modules $\mathcal {F} $ such that direct sums of
$\mathcal {F} $-covers ($\mathcal {F} $-envelopes) are $\mathcal {F} $-covers ($\mathcal {F} …

Let R be a ring and na fixed non-negative integer. C and D denote the classes of all left R-
modules with pure-injective dimension and pure-projective dimension at most n …

Let R be a commutative ring and M a unital R-module. A submodule N is said to be δ-small,
if whenever N+ L= M with M/L is singular, we have L= M. M is called δ-small monoform if any …

The purpose of this paper is to further the study of weakly injective and weakly projective
modules as a generalization of injective and projective modules. For a locally qfd module …

In this paper, we study the Noetherian dimension of sum of certain modules. It is proved that
for any module M which is an irredundant sum of submodules, each of which has …

In this thesis, we conducted a comprehensive study of neat-subgroups of abelian groups. In
this context, we investigated exact sequences, injectivity, projectivity, essential extensions …

Let R be a ring, n, d be fixed non-negative integers, the class of (n, d)-injective left R-
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …

المعممة - مقاسات الرفع المجوفه Generalized-hollow lifting modules Page 1 Hasan Iraqi Journal
of Science, 2016, Vol. 57, No.3B, pp:2089-2093 _______________________________ *Email …