The notions of t-lifting modules and t-small submodules of a module M were introduced in
Amouzegar et al.(Vietnam J. Math. 42, 159–169, 2014). But the authors restricted the …

In this paper we introduce a new generalization of small submodules, namely γ-small
submodules. We call a submodule K of a module M, γ-small provided M= K+ L with M/L …

The notion of⊕-supplemented modules is a proper generalization of lifting modules. As a
proper generalization of⊕-supplemented modules, we introduce (D 12)-modules and obtain …

In this paper, we study a module which is lifting and supplemented relative to a module
class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules …

Let R be a ring with identity and let M be a left R-module. M is called µ-lifting modulei f for
every sub module A of M, There exists a direct summand D of M such that M= D⊕ D', for …

Motivated by 2 and 6, we introduce a generalization of extending (CS) modules by using the
concept of τ-large submodule which was defined in 9. We give some properties of this class …

This paper aims to introduce two new concepts in module $ M $ over a ring $ R. $ The first
one is called the $ e^{*} $-lifting module, a generalization of the lifting module. The second …

ساسية والمقاسات المكملة اال ساسية حول مقاسات الرفع اال On Large-Lifting and Large- Page 1
Abduljaleel and Yaseen Iraqi Journal of Science, 2022, Vol. 63, No. 4, pp: 1729-1735 DOI …

‎ A module $ M $ is lifting if and only if $ M $ is amply supplemented and‎‎ every coclosed
submodule of $ M $ is a direct summand‎.‎ In this paper‎,‎ we are‎‎ interested in a generalization …

A module M is called lifting if every submodule N of M, contains a direct summand K of M
such that N/K≪ M/K. We call a module M cf-lifting if every coessentialy a finitely generated …