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MV-Modules in View of Soft Set Theory

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Abstract (2. Language): 
In this paper, the concept of a soft MV-module is introduced and some examples are provided. Then, different types of intersections and unions of the family of soft MV-modules are established. Moreover, the notions of soft MV-submodules and soft MV-module homomorphisms are introduced and some of their properties are studied.
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REFERENCES

References: 

[1] U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59, (2010), 3458-3463.
[2] D. Afkhami Taba, A. Hasankhani, M. Bolurian, Soft nexuses, Comput. Math. Appl., 64(6), (2012), 1812-1821.
[3] H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci., 177, (2007), 2726-2735.
[4] A. Ali, M. Aslam, A. Fahmi, Soft Loops, U.P.B. Sci. Bull. Series A, 76(2), (2014), 159-168.
[5] N. Cagman, S. Enginoglu, Soft matrix theory and its decision making, Comput. Math. Appl., 59, (2010), 3308-
3314.
[6] C. C. Chang, Algebraic analysis of many-valued logic, Trans. Amer. Math. Soc., 88, (1958), 467-490.
[7] R. L. O. Cignoli, I.M. L. D’Ottaviano and D.Mundici,Algebraic Foundations ofMany-Valued Reasoning, Kluwer
Academic, Dordrecht, Boston, (2000).
[8] F. Citak, N. Cagman, J. Zhan, Soft K-INT-Ideals of Semirings, preprint.
[9] A. DiNola, P. Flondor, I. Leustean, MV-modules, J. of Algebra, 267, (2003), 21-40.
[10] A. Erami, A. Hasankhani, Soft Vectorial MV-algebras, Indian J. of Science and Technology, 7(9), (2014), 1428-
1436.
[11] B. A. Ersoy, S. Onar, B. Davvaz, K. Hila, Structure of idealistic fuzzy soft G-near-ring, U.P.B. Sci. Bull. Series A,
77(3), (2015), 15-28.
[12] F. Feng, Y. B. Jun, X. Z. Zhao, Soft semirings, Comput. Math. Appl., 56, (2008), 2621-2628.
[13] F. Forouzesh, E. Eslami, A. Borumand Saeid, On prime A-ideals in MV-modules, U.P.B. Sci. Bull. Series A,
76(3), (2014), 181-198.
[14] A. R. Hadipour, A. Borumand Saeid, Fuzzy soft BF-algebra, Indian J. of Science and Technology, 6(3), 4199-
4204.

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