Volume 35 | Number 3 | Year 2016 | Article Id. IJMTT-V35P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P530
In this paper, we introduce and study the concept e-semimaximal submodule. Also many relationships of this concept with other related concepts are given.
[1] M.S.Abass, “On Fully Stable Modules”, Ph.D. Thesis, Univ. of Baghdad, Iraq, 1990.
[2] E.A.Athab, “Prime Submodules and Semiprime Submodules”, Ms.C. Thesis, Univ. of Baghdad, Iraq, 1996.
[3] Z.A.Elbast, and P.F.Smith, “Multiplication Modules, Commuinication J. in Algebra, Vol.10(4), 1988.
[4] D.J.Fieldhous, “Pure Theories”, Math.Ann., Vol.184, pp.1-18, 1969.
[5] K.R.Goodearl, “Ring Theory Nonsingular Rings and Modules”, Marcel Dekkl, 1976.
[6] I.M.A. Hadi, “-Semimaximal Submodules”, Proceeding of 4th International Scientific Conference of Salahadin Univ.Erbil-Iraq, pp.18-20, 2011.
[7] F.Kasch, “Modules and Rings”, Academic Press, Inc- London, 1982.
[8] H.Y.Khalaf, “Semimaximal Submodules”, Ph.D. Thesis, University of Baghdad, Iraq, 2007.
[9] T.Y.Lam, “Lectures on Modules and Rings”, Springer, 1998.
[10] Y.Wang, “-Small Submodules and -Supplemented Modules”, International J.Math. and Mathematical Sciences, Vol. 1, pp.1-8, 2007.
[11] D.X.Zhou and X.R.Zhang, “Small-Essential Submodules and Morita Duality”, Southeast Asian Bull. Math., Vol.35, pp.1051-1062, 2011.
Inaam, M.A.Hadi, Sameeah Hasoon Aidi, "e-Semimaximal Submodules," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 3, pp. 211-215, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P530