In this paper, we introduce two new classes of modules called SFI-injective and SFI-flat
modules, we give their characterizations and we study the effect of these classes over exact …

T المقاسات الرفع المجوفة من النمط Page 1 Yaseen and Elewi Iraqi Journal of Science, 2019, Vol.60,
No.11, pp: 2486-2489 DOI: 10.24996/ijs.2019.60.11.20 …

In this paper, we generalize, with respect to the w-operation, the notions of FI-injective and FI-
flat modules introduced by L. Mao and N. Ding. Let R be a ring. An R-module M is called w …

In this paper, we introduce the notion of t-epi-modules. An R-module M is called t-epi if every
t-closed submodule of M is a homomorphic image of M. Various properties of these modules …

This paper introduce and investigate the notion of FI− M− principally injective and FI− semi-
injective (fully invariant-semi injective) modules. Clearly FI− semi-injective module does not …

Modules (resp. rings) with flat socles are called FS-modules (resp. FS-rings) which are
preserved by Morita equivalences and (almost) excellent extensions. One result of Xue …

In this paper, we introduce a generalization of the well-known CS condition. We say an-
module is a- if every complement is isomorphic to a summand. We prove that if is a right CIS …

Let R be a ring and I an ideal of R. We define and study I-pure submodules, I-FP-injective
modules, I-flat modules, I-coherent rings and I-semihereditary rings. Using the concepts of I …

The concept of St-Polyform modules, was introduced and studied by Ahmed in [1], where a
module M is called St-polyform, if for every submodule N of M and for any homomorphism ð …

A module M is called FI-extending if every fully invariant submodule of M is essential in a
direct summand of M. In this work, we define a module M to be generalized FI-extending …