On Intuitionistic Fuzzy G-Modules On GF(p<sup>n</sup>)
Keywords:Galois eld, intuitionistic fuzzy set, intuitionistic fuzzy G-module, intuitionistic fuzzy Galois G-module, Ascending chain condition (A.C.C)
AbstractIn 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).
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,
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
L.A. Zadeh, Fuzzy Sets, Inform. Control. 8 (1965) 338-353.
How to Cite
- Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.
- It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.
- The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.
- The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.