Research Paper | Mathematics | Iraq | Volume 7 Issue 1, January 2018
Z-Nearly Prime Submodules
Nuhad Salim Al-Mothafar
Let R be a commutative ring with identity and N be a proper submodule N of R-moduLe M is called prime if whenever rxN, rR, xM, implies either xN or r[NM]. In this paper we say that N is Z-nearly prime submodule of R-moduLe M, if whenever fM^*=Hom (M, R), x M such that f (x) x N, then either x N+J (M) or f (x) [N+J (M) M], J (M) is the Jacobson radical of M. We prove some result of this type of submodules
Keywords: prime submodule, Z-prime submodule, nearly prime submodule, nearly regular module
Edition: Volume 7 Issue 1, January 2018
Pages: 796 - 799
How to Cite this Article?
Nuhad Salim Al-Mothafar, "Z-Nearly Prime Submodules", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20179321, Volume 7 Issue 1, January 2018, 796 - 799
139 PDF Views | 117 PDF Downloads
Similar Articles with Keyword 'prime submodule'
Research Paper, Mathematics, Iraq, Volume 6 Issue 4, April 2017
Pages: 1115 - 1120?-Primary Submodules
Nuhad S.AL-Mothafar, Adwia J.Abdil.Al-Khalik
Research Paper, Mathematics, Iraq, Volume 6 Issue 6, June 2017
Pages: 2446 - 2450End-?-Primary Submodules
Nuhad S. AL-Mothafar, Adwia J. AbdilKhalik
Research Paper, Mathematics, Iraq, Volume 6 Issue 7, July 2017
Pages: 1051 - 1053J- Semiprime Submodules
Nuhad Salim Al-Mothafar, Iman A. Athab
Research Paper, Mathematics, Iraq, Volume 7 Issue 3, March 2018
Pages: 196 - 198S-nearly Semiprime Submodules and Some Related Concept
Mohammed B. H. Alhakeem
Research Paper, Mathematics, Iraq, Volume 7 Issue 1, January 2018
Pages: 796 - 799Z-Nearly Prime Submodules
Nuhad Salim Al-Mothafar