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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 22Issue 2PP: 29-34 • 2023

Neutrosophic Near Algebra Over Neutrosophic Field

Bhurgula Harika 1* ,
K. Rajani 1 ,
P. Narasimha Swamy 1 ,
T. Nagaiah 2 ,
L. Bhaskar 3
1Department of Mathematics, GITAM Deemed to be University, Hyderabad Campus, India
2Department of Mathematics, Kakatiya University, Warangal, India
3Department of Mathematics, National Institute of Technology, Raipur, India
* Corresponding Author.
Received: March 25, 2023 Revised: June 09, 2023 Accepted: September 06, 2023

Abstract

This piece of paper aims to learn neutrosophic near algebra and neutrosophic sub near algebra. This paper is summarized with the suitable definitions and theorems of neutrosophic near algebra and neutrosophic sub near algebra. It has also been demonstrated that the direct product of neutrosophic near algebra is a neutrosophic near algebra and the intersection of neutrosophic sub near algebra is a neutrosophic near algebra on a neutrosophic field. It also examined the union of couple of neutrosophic near algebras is a neutrosophic near algebra.

Keywords

Neutrosophic field Weak neutrosophic near algebra Strong neutrosophic near algebra

References

[1] A.A.A. Agboola and B. Davvaz, “Introduction to neutrosophic nearrings”, Annals of Fuzzy Mathematics and Informatics, Vol.12(3) (2016), pp 397-410.

[2] A.A.A. Agboola and S.A.Akinleye, “Neutrosophic vector spaces”, Neutrosophic Sets and Systems, Vol. 4(2014).

[3] A.A.A. Agboola, A.D. Akinola and O.Y. Oyebola, “Neutrosophic Rings I”, International Journal of Mathematical Combinatorics, Vol. 4 (2011), 1-14.

[4] A.A.A. Agboola, A.O. Akwu and Y.T. Oyebo, “Neutrosophic groups and Neutrosophic Subgroups”, International Journal of Mathematical Combinatorics, Vol.3 (2012), 1-9.

[5] H. Brown, “Near algebra”, Illinois J. Math, 12(1968), 215-227.

[6] G. Pilz, “Near-ring”, North Holland publishers, Amsterdam (1983).

[7] F. Smarandache, “A Unifying Field in Logics: Neutrosophic Logic”, Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Research Press, (2003) Rehoboth.

[8] W.B. Vasantha Kanda Swamy, F. Smarandache, “Fuzzy algebra”, American

Research Press, Rehoboth (2003).

[9] W.B. Vasantha Kanda Swamy and F. Smarandache, “Basic Neutrosophic Algebraic Structures and Their Applications to Fuzzy and Neutrosophic Models”, Hexis, Church Rock (2004).

[10] T. Nagaiah, L. Bhaskar, P. Narasimha Swamy and Said Broumi, “A Study on Neutrosophic Algebra”, Neutrosophic Sets and Systems, Vol. 50 (2022).

Cite This Article

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Harika, Bhurgula, Rajani, K., Swamy, P. Narasimha, Nagaiah, T., Bhaskar, L.. "Neutrosophic Near Algebra Over Neutrosophic Field." International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 2, 2023, pp. 29-34. DOI: https://doi.org/10.54216/IJNS.220203
Harika, B., Rajani, K., Swamy, P., Nagaiah, T., Bhaskar, L. (2023). Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science, Volume 22(Issue 2), 29-34. DOI: https://doi.org/10.54216/IJNS.220203
Harika, Bhurgula, Rajani, K., Swamy, P. Narasimha, Nagaiah, T., Bhaskar, L.. "Neutrosophic Near Algebra Over Neutrosophic Field." International Journal of Neutrosophic Science Volume 22, no. Issue 2 (2023): 29-34. DOI: https://doi.org/10.54216/IJNS.220203
Harika, B., Rajani, K., Swamy, P., Nagaiah, T., Bhaskar, L. (2023) 'Neutrosophic Near Algebra Over Neutrosophic Field', International Journal of Neutrosophic Science, Volume 22(Issue 2), pp. 29-34. DOI: https://doi.org/10.54216/IJNS.220203
Harika B, Rajani K, Swamy P, Nagaiah T, Bhaskar L. Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 2):29-34. DOI: https://doi.org/10.54216/IJNS.220203
B. Harika, K. Rajani, P. Swamy, T. Nagaiah, L. Bhaskar, "Neutrosophic Near Algebra Over Neutrosophic Field," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 2, pp. 29-34, 2023. DOI: https://doi.org/10.54216/IJNS.220203
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