International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Most Trusted Research Journal Since Year 2012

ISSN: 2319-7064

Research Paper | Mathematics | Iraq | Volume 6 Issue 6, June 2017

End-?-Primary Submodules

Nuhad S. AL-Mothafar, Adwia J. AbdilKhalik

Let R be a commutative ring with identity and M an unitary R-module. Let (M) be the set of all submodules of M, and (M) (M) {} be a function. We say that a proper submodule P of M is end--primary if for each EndR (M) and x M, if (x) P, then either x P + (P) or n (M) P + (P) for some nZ+. Some of the properties of this concept will be investigated. Some characterizations of end--primary submodules will be given.

Keywords: Prime submodules, Primary submodules, end--primary submodules, end--prime submodules

Edition: Volume 6 Issue 6, June 2017

Pages: 2446 - 2450


How to Cite this Article?

Nuhad S. AL-Mothafar, Adwia J. AbdilKhalik, "End-?-Primary Submodules", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=1061705, Volume 6 Issue 6, June 2017, 2446 - 2450

13 PDF Views | 16 PDF Downloads

Download Article PDF

Video Lecture of Above Article is Not Available Yet

You be the First to Request! Press the Button below!



Similar Articles with Keyword 'Prime submodules'

Research Paper, Mathematics, Iraq, Volume 6 Issue 6, June 2017

Pages: 2446 - 2450

End-?-Primary Submodules

Nuhad S. AL-Mothafar, Adwia J. AbdilKhalik

Share this article

Research Paper, Mathematics, Iraq, Volume 6 Issue 7, July 2017

Pages: 1051 - 1053

J- Semiprime Submodules

Nuhad Salim Al-Mothafar, Iman A. Athab

Share this article

Research Paper, Mathematics, Iraq, Volume 7 Issue 1, January 2018

Pages: 796 - 799

Z-Nearly Prime Submodules

Nuhad Salim Al-Mothafar

Share this article

Research Paper, Mathematics, Iraq, Volume 7 Issue 3, March 2018

Pages: 196 - 198

S-nearly Semiprime Submodules and Some Related Concept

Mohammed B. H. Alhakeem

Share this article

Similar Articles with Keyword 'Primary submodules'

Research Paper, Mathematics, Iraq, Volume 6 Issue 6, June 2017

Pages: 2446 - 2450

End-?-Primary Submodules

Nuhad S. AL-Mothafar, Adwia J. AbdilKhalik

Share this article

Research Paper, Mathematics, Iraq, Volume 6 Issue 4, April 2017

Pages: 1115 - 1120

?-Primary Submodules

Nuhad S.AL-Mothafar, Adwia J.Abdil.Al-Khalik

Share this article

Top