A module is extending (or CS, C1) if every complement submodule is a direct summand or,
equivalently, every submodule is essential in a direct summand. The terms extending and …

In this article, we introduce a class of modules which is analogous to that of-extending and-
extending modules. We define a module M to be-extending if and only if for each ec-closed …

Ec- توسع االعمامية من خالل المقاسات الجزئية المغلقة من النمط ال مقاسات Page 1 Kamil and Al-Aeashi
Iraqi Journal of Science, 2023, Vol. 64, No. 10, pp: 5158- 5164 DOI: 10.24996/ijs.2023.64.10.23 …‎

每个循环子模都是其直和项的本质子模的模称为P—CS 模, 它是CS-模的推广. 模M 满足C2
条件是指若M 的子模N 同构于M 的直和项, 则N 是M 的直和项. 模M 满足C3 条件是指若M1, M2 …

In this article, we provide a class of modules that is comparable to-extending and-extending
modules. We specify what a module M is as-extending if and only if for each cyclic …

There are several generalizations of-modules in literature. One of the generalization is
based on fully invariant submodules. Recall that a module is called-extending if every fully …

In this paper, we study the direct sum of min (max)-CS modules. We show that the direct sum
of min (max)-CS modules need not be min (max)-CS module. So we give many sufficient …

In this paper, cyclic $ c-$ injective modules are introduced and investigated. It is shown that
a commutative Noetherian domain is Dedekind if and only if every simple module is cyclic …

A module M is said to satisfy the EC11 condition if every ec-submodule of M has a
complement which is a direct summand. We show that for a multiplication module over a …

ECS سات حول المقا ON ECS modules Page 1 Yaseen and Abd alrazzaq Iraqi Journal of Science,
2016, Vol. 57, No.2A, pp: 979-983 _________________________________ *Email …