Classes of Submodules

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Journal of Progressive Research in Mathematics(JPRM) ISSN: 2395-0218

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Volume 11, Issue 1 Published online: January 11, 2017|

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On - Classes of Submodules Arwa Eid Ashour Department of Mathematics, The Islamic University of Gaza, Palestine

Mohammed Mahmoud AL-Ashker Department of Mathematics, The Islamic University of Gaza, Palestine

Al-Hussain Kamal Abu oda Department of Mathematics, The Islamic University of Gaza, Palestine

Abstract

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References [1]

Anderson, D.D., and Bataineh, M., Generalizatins of prime ideals, Comm. Algebra, Vol. 36, pp 686696, (2008).

[2]

Ashour, A.E., On Weakly primary submodules, Journal of Al Azhar University-Gaza (Natural Sciences), Vol.13, pp 31-40, (2011).

[3]

Atani, S.E and Farzalipour, F., On Weakly primary ideals, Georgian Mathematical Journal Volume 12, Number 3, pp 423-429, (2005).

[4]

Atani, S.E and Farzalipour, F., On Weakly prime submodules, Tamkang Journal Of Mathematics, Volume 38, Number 3, pp 247-252, (2007)

[5]

Atani, S.E. and Darani, A.Y.,Weakly Primal Submodules, Tamkang Journal Of Mathematics, Volume 40, Number 3, pp 239-245, (2009).

[6]

Athab, E.A., Prime and Semiprime Submodules, M.Sc. Thesis, College of Science, University of Baghdad, (1996).

[7]

Bataineh, M. and Kuhail, S., Generalizations of Primary Ideals and Submodules, Jordan University of Science and Technology,Jordan, Int. J. Contemp. Math. Sciences, Vol. 6, no. 17, pp811 - 824, (2011).

[8]

Darani, A.Y., Generalizations of primal ideals in commutative rings, Matematiki Vesnik, Iran, vol. 64(1), pp25-31, (2012).

[9]

Darani, A. and Soheilnia, F., 2-Absorbing and Weakly 2-Absorbing Submodule, Thai Journal of Mathematics Volume 9, Number 3, pp 577-584, (2011).

[10] Darani, A.Y., When an Irreducible Submodule is Primary, International Journal of Algebra, Vol. 2, no. 20, pp 995-998, (2008). [11] Darani, A.Y, Almost Primal Ideals in Commutative Rings, Chiang Mai J. Sci., 38(2), pp 161-165, (2011).

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[12] Dauns, J., Primal modules, Communications in Algebra, 25:8, pp 2409-2435, (1997). [13] Dubey, M. and Aggarwal, P., On 2-Absorbing Submodules over Commutative Rings, ISSN 19950802, Lobachevskii Journal of Mathematics, Vol. 36, No. 1, pp. 58-64, (2015). [14] Khaksari, A.,  - prime submodule, International Journal of Algebra, Vol. 5, no. 29, pp 1443 - 1449, (2011). [15] Khashan, H.A., On almost prime submodules, Science Direct, Acta Mathematica Scientia, Vol.32, No.2, pp 645-651, (2012). [16] Li-min,W., and Shu-xiang, Y., On almost primary submodules, Journal of Lanzhou University (Natural Sciences), Vol. 49 No. 3, (2013). [17] Lu, C.Pi., Prime Submodules of modules, Comment. Math. Univ. St. Paul, Vol.33 No. 1, pp 61-69, (1984). [18] Northcott, D.G., Lessons on Rings, Modules, and Multiplicties, Cambridge University Press, (1968). [19] Sharp, R., Steps in commutative algebra, Cambridge University Press, Cambridge- New YorkSydney, (2000). [20] Zamani, N.,  - prime submodule, Glasgow Mathematical Journal, Iran, volume 52, issue 02, pp 253-259, (2010).

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