WE-primary submodules and WE-quasi-prime submodules
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Abstract
In this paper we introduced and study two concepts one of is a subclass of a class of weakly primary submodules called WE-primary submodules and the other of a subclass of weakly quasi-prime submodules called WE-quasi-prime submodules. Several properties of WE-primary and WE- quasi - prime submodules have been given, and some characterizations of each type of submodules are introduced moreover behavior of these submodules in some classes of modules are investigated. On the otherhand, the homeorphic and inverse image of these concept under certain conditions are proved
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References
[1] Ebrahimi S.A., ”Farzalipour F”. (2005).” On Weakly Prime Ideals “ Georgian Math. J. 423-424 .
[2] AL-Joboury W.K. (2013). “Weakly Quasi-Prime Module and Weakly Quasi-Prime Submodules”, M.sc. thesis , Tikrit university,Tikrit, Iraq.
[3] Naoum A.G. (1995). “Regular Multiplication Modules “ Periodica Mathmatic Hungarica, 31 (2), 37-39.
[4] Ozcan A.C. Haranc A. and Smith P.F . (2006) ,“ Duo Modules “, Glasgow Math. J. Trust, 48, , 533-545 .
[5] Kasch F. 1982, “Module and Ringes “ Acadimic Press London.
[6] Shihap B.N,(2004). “Scalar Reflexine Module “ Ph.D. thesis University of Baghdad, Baghdad, Iraq.
[7] Ashour A.E.(2011). “On Weakly Primary Submodule “Journal of AL-Azhar University Gaze, p, 31-40.
[8] Haibat K.M and Saif A.H . (2018 ). “WE-Prime Submodule and WE-quasi-prime submodule” Journal IBN-AL-haithem , To appear.
[9] Jadidi S. and Madanshekat A . (2014). “Weakly primary Submodules and Weakly Primary Ideals”, U.P.D. Science, Bull. Series A 76(4), 52-60.