On WNQP – Submodules
DOI:
https://doi.org/10.29304/jqcm.2022.14.2.937Keywords:
Triple zero, Multiplication Modules, Content Modules, WNQP of SubmodulesAbstract
Our goals in this paper are to introduce many results of a WNQP submodules such as triple zero of WNQP submodules. Moreover, several characterization of WNQP Submodule in some types of modules such as (multiplication, content, and finitely generated) modules. Furthermore WNQP radical of submodule are discuses.
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References
1] Haibat, K. M. and Hero, J. H. Weakly Nearly Quasi Prime Submodule, Tikrit Journal of Pure Science, To appear
[2] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, 1982.
[3] Dauns, J. Prime Modules, Journal Reine Angew, Math., (2) (1978), 156-181.
[4] Goodearl, K. R. Ring Theory, Marcel Dekker, New York, 1976.
[5] Anderson, F. W. and Fuller, K. F. Rings and Categories of Modules, Springer Verlag New Yourk.
[6] El-Bast, Z.A. and Smith, P.F. Multiplication modules, Comm. In Algebra 16(4)(1988), 755–779.
[7] Barnard, A. Multiplication Modules, Journal of Algebra, (71) (1981), 174-178.
[8] Darani, A. Y. and Soheilinia, F. 2-Absorbing and Weakly 2-Absorbing Submodule, Tahi Journal of Math. 9(3) (2011), 577-584.
[9] Noderi, M. and Razaj. Weakly Primary Submodules of Multiplication Modules and Intersection Theorem, Int. Journal Contemp. Math. Sci. 4(13)(2009), 1645-1652.
[10] Lu, C. P. M-radical of Submodules, Math. Japan. 34 (2) (1989), 211-219.
[11] Larsen, M. D. and McCarthy, P. J. Multiplication Theory of Ideals, Academic Press, New York, 1971.
[12] Nuha, H. H. The Radical of Modules, M. Sc. Thesis, University of Baghdad, 1996.
[13] Smith, P. F. Some remarks of Multiplication Modules, Arch. Math. (50) (1986), 223-225.
[14] Burton, D. M. Abstract and Linear Algebra, Addison-Weslay publishing Company, 1972.
[15] Goldie, A. F. Torsion free Modules and Rings, J. Algebra, (1) (1964), 268-287.
[16] Lam, T. Y. Lectures on Modules and Rings, GTN, 189, Springer Verlage, Berlin New York, 1999.
[17] Burton, D. M. First Course in Rings and Ideals, University of New Hampshire, 1976.
[18] Ali, S. M. On Cancellation Modules, M. Sc. Thesis, University of Baghdad, 1993.
[2] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, 1982.
[3] Dauns, J. Prime Modules, Journal Reine Angew, Math., (2) (1978), 156-181.
[4] Goodearl, K. R. Ring Theory, Marcel Dekker, New York, 1976.
[5] Anderson, F. W. and Fuller, K. F. Rings and Categories of Modules, Springer Verlag New Yourk.
[6] El-Bast, Z.A. and Smith, P.F. Multiplication modules, Comm. In Algebra 16(4)(1988), 755–779.
[7] Barnard, A. Multiplication Modules, Journal of Algebra, (71) (1981), 174-178.
[8] Darani, A. Y. and Soheilinia, F. 2-Absorbing and Weakly 2-Absorbing Submodule, Tahi Journal of Math. 9(3) (2011), 577-584.
[9] Noderi, M. and Razaj. Weakly Primary Submodules of Multiplication Modules and Intersection Theorem, Int. Journal Contemp. Math. Sci. 4(13)(2009), 1645-1652.
[10] Lu, C. P. M-radical of Submodules, Math. Japan. 34 (2) (1989), 211-219.
[11] Larsen, M. D. and McCarthy, P. J. Multiplication Theory of Ideals, Academic Press, New York, 1971.
[12] Nuha, H. H. The Radical of Modules, M. Sc. Thesis, University of Baghdad, 1996.
[13] Smith, P. F. Some remarks of Multiplication Modules, Arch. Math. (50) (1986), 223-225.
[14] Burton, D. M. Abstract and Linear Algebra, Addison-Weslay publishing Company, 1972.
[15] Goldie, A. F. Torsion free Modules and Rings, J. Algebra, (1) (1964), 268-287.
[16] Lam, T. Y. Lectures on Modules and Rings, GTN, 189, Springer Verlage, Berlin New York, 1999.
[17] Burton, D. M. First Course in Rings and Ideals, University of New Hampshire, 1976.
[18] Ali, S. M. On Cancellation Modules, M. Sc. Thesis, University of Baghdad, 1993.
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Published
2022-06-04
How to Cite
Mohammadali, H. K., & Hassan, H. J. (2022). On WNQP – Submodules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(2), Math Page 9–14. https://doi.org/10.29304/jqcm.2022.14.2.937
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