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International Journal of Neutrosophic Science
Volume 22 , Issue 3, PP: 36-52 , 2023 | Cite this article as | XML | Html |PDF

Title

On Radical of Neutrosophic Primary Submodule

  M. Vasuki 1 * ,   P. Senthil Kumar 2 ,   Said Broumi 3 ,   N. Rajesh 4

1  Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
    (vasuki.scas@gmail.com)

2  Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
    (senthilscas@yahoo.com)

3  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
    (s.broumi@flbenmsik.ma)

4  Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
    (nrajesh topology@yahoo.co.in)

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Doi   :   https://doi.org/10.54216/IJNS.220303

Received: April 26, 2023 Revised: July 08, 2023 Accepted: October 04, 2023

Abstract :

In this paper, we introduce and study the concept of neutrosophic submodules and neutrosophic primary submodule with the help of the definition of a radical submodule, and we also study the properties of these submodules. Furthermore, homomorphic image and preimage of neutrosophic primary submodule are investigated.

Keywords :

neutrosophic submodules; radical submodule; neutrosophic primary submodule.

References :

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[17] P. K. Sharma and K. Gagandeep, Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module, International Journal of Computer Science and Information Technology, 9 (2017), 1-15.

[18] P. K. Sharma and G. Kaur, Intuitionistic fuzzy prime spectrum of a ring, International Journal of Fuzzy Systems, 9 (2017), 167–175.

[19] F. Smarandache, Neutrosophic set-a generalization of the intuitionistic fuzzy set, Int. J. Pure Appl. Math., 24(3) (2005), 287-297.

[20] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (3) (1965), 338-353.

 

Cite this Article as :
Style #
MLA M. Vasuki, P. Senthil Kumar, Said Broumi, N. Rajesh. "On Radical of Neutrosophic Primary Submodule." International Journal of Neutrosophic Science, Vol. 22, No. 3, 2023 ,PP. 36-52 (Doi   :  https://doi.org/10.54216/IJNS.220303)
APA M. Vasuki, P. Senthil Kumar, Said Broumi, N. Rajesh. (2023). On Radical of Neutrosophic Primary Submodule. Journal of International Journal of Neutrosophic Science, 22 ( 3 ), 36-52 (Doi   :  https://doi.org/10.54216/IJNS.220303)
Chicago M. Vasuki, P. Senthil Kumar, Said Broumi, N. Rajesh. "On Radical of Neutrosophic Primary Submodule." Journal of International Journal of Neutrosophic Science, 22 no. 3 (2023): 36-52 (Doi   :  https://doi.org/10.54216/IJNS.220303)
Harvard M. Vasuki, P. Senthil Kumar, Said Broumi, N. Rajesh. (2023). On Radical of Neutrosophic Primary Submodule. Journal of International Journal of Neutrosophic Science, 22 ( 3 ), 36-52 (Doi   :  https://doi.org/10.54216/IJNS.220303)
Vancouver M. Vasuki, P. Senthil Kumar, Said Broumi, N. Rajesh. On Radical of Neutrosophic Primary Submodule. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 3 ): 36-52 (Doi   :  https://doi.org/10.54216/IJNS.220303)
IEEE M. Vasuki, P. Senthil Kumar, Said Broumi, N. Rajesh, On Radical of Neutrosophic Primary Submodule, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 3 , (2023) : 36-52 (Doi   :  https://doi.org/10.54216/IJNS.220303)
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