Let M be a module. Then M is called a D11 module if any submodule of M has a supplement
which is a direct summand of M. Also M is called if every direct summand of M is D11. In this …

Let R be a ring and M a left R-module. Then, M is called a (D< sub> 11)-module if every
submodule of M has a supplement that is a direct summand of M, and M is called a (D< sub> …

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 …

Finite Direct Sums of (D1)-modules Page 1 Turkish Journal of Mathematics Volume 22
Number 1 Article 9 1-1-1998 Finite Direct Sums of (D1)-modules Derya Keskin Follow this …

‎ 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 …

D-extending modules Page 1 Hacettepe Journal of Mathematics & Statistics Hacet. J. Math.
Stat. Volume 49 (3) (2020), 914 – 920 DOI : 10.15672/hujms.460241 Research Article D-extending …

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 …

A module M is called a D 4-module if, whenever A and B are submodules of M with M= A⊕
B and f: A→ B is a homomorphism with Im f⊆⊕ B, we have ker f⊆⊕ A. The class of D 4 …

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 …

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 …