Authors:
Nuhad Salim Al-Mothafar,Ali Abd Alhussein Zyarah,DOI NO:
https://doi.org/10.26782/jmcms.2020.02.00001Keywords:
Γ–Ring,RΓ-Modules,RΓ-Submodule ,Primary RΓ-Submodule,Abstract
Let R be a Γ-ring and G be an RΓ-module. An RΓ-submodule S of an RΓ-module G is called semi-primary RΓ-submodule if is prime ideal of Γ-ring R. The purpose of this paper is to introduce interesting result semi-primary RΓ-submodule of RΓ-module which represent generalization semi-primary submodules.Refference:
I. A. S. Majbass, Semi-Primary Submodules, Science journal, University of Tikrit, 6 (2000).
II. Ameri. R and R. Sadeghi, “Gamma Modules”, Ratio Mathematica, 20 (2010), pp. 127-147.
III. A. Zyarah and N. S. AL-Mothafar, “Semiprime RΓ-Submodule of Multiplication RΓ-module”, Iraqi Journal of Science 61 (2020).
IV. H. A. Abbas, “Projective Gamma Modules and Some Related Concepts”, department of Mathematics, Al Mustansiryah University, Baghdad, Iraq, 2018.
V. M. S. Abbas, H. R. Hassan and H. A. Abbas, ΓR-Multiplication and ΓR-Projective Gamma Modules, International Journal of Contemporary Mathematical Sciences, Vol.13 (2018), pp. 87-94.
VI. M. S. Abbas and B. M. Hamad, The Stable Envelope of Gamma Modules, Journal of Mechanics of Continua and Mathematical Sciences, 14 (2019).
VII. N. Nobusawa, “On a Generalization of the Ring Theory”, Osaka Journal of Mathematics, 1 (1964), pp. 81-89.
VIII. U. T. U. Sengu, “On Prime ΓM-Submodules of ΓM-Modules”, International Journal of Pure and Applied Mathematics 19 (2005), pp. 123-128.