Weakly Approximately –Prime Submodules And Related concepts
Keywords:
Weakly prime submodules, WAPP-prime submodules Socal of submodules, multiplication modulesAbstract
Let R be a commutative ring with identity and P a unital left R-module . The purpose of this paper is to introduce and study the concept of WAPP-prime submodules as a generalization of weakly prime submodules , where a proper submodule L of an R-module P is called a WAPP-prime , if whenever 0≠re ϵ L for rϵR , eϵP , implies that either e or r[:R P] . Several examples , characterizations and basic properties of this concept are given .Moreover many characterizations of WAPP-prime submodules in class of multiplication modules are introduced
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References
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[4] Ebrahimi .S and Farzalipour. F .,On Weakly Prime Submodules , Tamkang Journal Of Math .38(3) ,(2007), 247-252 .
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[6] Adil K.J.,A generalizations of Prime and Weakly Prime Submodules ,Pure Math .Sci .2(1)(2013) ,1-11 .
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[12] Barnard . A .,Multiplication Modules , J . of Algebra , 71(1981) ,174-178
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[15] Nuha. H.H ,The Radicals of Modules , M.Sc. Thesis , University of Bagdad 1996
[16] Ali S. M ,On Cancellation Modules ,M. Sc Thesis , University of Bagdad ,1993
[2] Dauns. J ."Prime Modules "J .Reine Angew , Math .2(1978) ,156-181 .
[3] Azizi A .,Weakly Prime Submodules and Prime Submodules ,Glasgow Math Journal 48 (2006),343-348 .
[4] Ebrahimi .S and Farzalipour. F .,On Weakly Prime Submodules , Tamkang Journal Of Math .38(3) ,(2007), 247-252 .
[5]Azizi A .,On Prime and Weakly Prime Submodules, Veitnam Journal of Math .36(3),(2008),315-325 .
[6] Adil K.J.,A generalizations of Prime and Weakly Prime Submodules ,Pure Math .Sci .2(1)(2013) ,1-11 .
[7] Ebrahimi .S. and Farzalipour. F .,On Weakly Primary ideals ,Georgion Math .Journal , 13(2005) ,423-429 .
[8] Waad. K.H ,Weakly Quasi Prime Modules and Weakly Quasi prime Submodules, M. Sc .Thesis , University of Bagdad ,(2013) .
[9] Farzatipar. F ,On Almost Semi Prime Submodules , Hindawi Publishing Corporation Algebra 31(2014) ,231-237 .
[10] Zelmanowitz. J ,An extension of the Jacobson density theorem ,,Amer .Math. Sec.,Vol .(82), No.(4) ,(1976),(551-553) .
[11] Kasch. F ,Modules and Rings , Academic press ,London 1982 .
[12] Barnard . A .,Multiplication Modules , J . of Algebra , 71(1981) ,174-178
[13] Darani. A.Y .and Soheilmai . F .,2-Absorbing and Weakly 2-Absorbing Submodules , Tahi Journal Math .(9)(2011) ,577-584 .
[14] Zelmanawitz .J .M .,Regular Modules ,Trans . Amer .Math .Soc ,163 (1973) ,341-355 .
[15] Nuha. H.H ,The Radicals of Modules , M.Sc. Thesis , University of Bagdad 1996
[16] Ali S. M ,On Cancellation Modules ,M. Sc Thesis , University of Bagdad ,1993
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Published
2020-05-15
How to Cite
Mohammadali, H. K., & Mahmood, S. J. (2020). Weakly Approximately –Prime Submodules And Related concepts. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(2), Math Page 30– 42. Retrieved from https://jqcsm.qu.edu.iq/index.php/journalcm/article/view/690
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Math Articles
