e-Supplement Submodules and eSupplemented Modules

Inaam; M.A.Hadi; Hassan K. Marhoon

doi:https://doi.org/10.14445/22315373/IJMTT-V33P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 2 | Year 2016 | Article Id. IJMTT-V33P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P516

e-Supplement Submodules and eSupplemented Modules

Inaam, M.A.Hadi, Hassan K. Marhoon

Abstract

In this paper , we introduce the concepts e-supplement submodules and e-supplemented modules .We study these concepts and give some basic properties about them.

Keywords

Essential submodule , small submodule , e-small submodule, closed submodule, supplement submodule, supplemented module ,e- supplemented module , e-supplement submodule.

References

[1] El- Bast, Z.A. and Smith, P.F.(1988), Multiplication modules , Comm. in Algebra, 16(4), 755-779.
[2] K. R. goodear, "Ring Theory , Non singular Rings and Modules" Marcel Dekker , Inc. New York and Basel (1976).
[3] F-kash "Modules and Rings" , Academic press, Inc. London (1982).
[4] D. Keskin " On Lifting Modules ", comm.. in Algebra, 28(7)(2000)
[5] D. X. Zhou and X. R. Zhang, "Small-Essential Submodule and Morita Duality" , Southeast Asian of Math. , 35(2011), PP. 1051-1062.

Citation :

Inaam, M.A.Hadi, Hassan K. Marhoon, "e-Supplement Submodules and eSupplemented Modules," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 2, pp. 123-126, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P516