IJPAM: Volume 113, No. 2 (2017)

Title

ON A GENERALIZATION OF SUPPLEMENT SUBMODULES

Authors

Celil Nebiyev
Department of Mathematics
Ondokuz May$\i$maths University
55270, Kurupelit, Atakum, Samsun, TURKEY

Abstract

In this work, some properties of g-supplement submodules are investigated. Let $V$ be a g-supplement of an essential submodule $U$ in $M$. Then it is possible to define a bijective map between essential maximal submodules of $V$ and essential maximal submodules of $M$ which contain $U$. It is also proved that $Rad_{g}V=V\cap Rad_{g}M$.

History

Received: November 4, 2016
Revised: December 20, 2016
Published: March 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 16D10, 16D70.
Key Words and Phrases: g-Small Submodules, Radical, Supplement, Submodules, g-Supplemented Modules.

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Bibliography

1
J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, <#25#>

How to Cite?

DOI: 10.12732/ijpam.v113i2.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 2
Pages: 283 - 289


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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).