On Intuitionistic Fuzzy G-Modules On GF(pn)

Authors

  • Poonam K. Sharma D.A.V.College, Jalandhar , Punjab, India

Keywords:

Galois eld, intuitionistic fuzzy set, intuitionistic fuzzy G-module, intuitionistic fuzzy Galois G-module, Ascending chain condition (A.C.C)

Abstract

In this paper, we have constructed an intuitionistic fuzzyG-module with level cardinality (n + 1) on the Galois eld GF(pn), andthen proved that innite many such intuitionistic fuzzy G-modules canbe constructed on it. We have also proved that each such intuitionisticfuzzy G-module, admits a sequence of k intuitionistic fuzzy G-submodules,where k is the number of divisors of n. Further, we have also discussedintuitionistic fuzzy noetherian G-module on GF(pn).

Author Biography

  • Poonam K. Sharma, D.A.V.College, Jalandhar , Punjab, India
    Asscoaite Professor in Mathematics

References

K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1) (1986) 87-96.

K.T. Atanassov, Intuitionistic Fuzzy Sets Theory and Applications, Studies on Fuzziness and

Soft Computing, 35, Physica-Verlag, Heidelberg (1999).

C.W. Curties and I. Reiner, Representation Theory of nite groups and associated algebras,

INC, (1962).

P.K. Sharma and Tarandeep Kaur, Intuitionistic fuzzy G-modules, Notes on Intuitionistic

Fuzzy Sets, 21(1) (2015) 6-23.

P.K. Sharma and Tarandeep Kaur, On intuitionistic fuzzy representation of intuitionistic fuzzy

G-modules, Annals of Fuzzy Mathematics and Informatics, 11(4) (2016) 557-569.

P.K.Sharma, Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, An-

nals of Fuzzy Mathematics and Informatics, Vol. 11, No.6, 2016, 885-898.

P.K Sharma, Semi-simple Intuitionistic Fuzzy G- Modules, International Journal of Pure and

Applied Researches, Vol. 1, no. 2, 2016, pp. 101- 108.

P.K. Sharma and Simpi Chopra, Injectivity of intuitionistic fuzzy G-modules, Annals of Fuzzy

Mathematics and Informatics (Communicated)

Gupta, Goyal, Advanced course Modern Algebra, Pragati Prakashan, Meerut, ISBN

-4.

L.A. Zadeh, Fuzzy Sets, Inform. Control. 8 (1965) 338-353.

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Published

2016-09-01

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How to Cite

On Intuitionistic Fuzzy G-Modules On GF(pn). (2016). Asian Journal of Fuzzy and Applied Mathematics, 4(4). https://ajouronline.com/index.php/AJFAM/article/view/4080

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