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A Note on Primary and Weakly Primary Submodules

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2016

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, the generalizations of primary submodules and weakly primary submodules are proposed as P(N)-locally primary submodules and P(N)-locally weakly primary submodules, respectively. The relationships of these submodules are investigated extensively.
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REFERENCES

References: 

[1] A.E. Ashour. On Weakly Primary Submodules, Journal of Al Azhar University-
Gaza(Natural Sciences), 13, 31-40. 2011.
[2] S.E. Atani and F. Farzalipour. On Weakly Primary Ideals, Georgian Mathematical Journal,
12, 423-429. 2005.
[3] S.E. Atani and F. Farzalipour. On Weakly Prime Submodules, Tamkang Journal of Mathematics,
38, 247-252. 2007.
REFERENCES 56
[4] A.K. Jabbar. A Generalization of Prime and Weakly Prime Submodules, Pure Mathematical
Sciences, 2, 1-11. 2013.
[5] R.Y. Sharp. Steps in Commutative Algebra, Cambridge University Press, Cambridge, 1990.
[6] U. Tekir. A Note on Multiplication Modules, International Journal of Pure and Applied
Mathematics, 27, 103-107. 2006.
[7] U. Tekir. On Primary Submodules, International Journal of Pure and AppliedMathematics,
27, 283-289. 2006.

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