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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 22 , Issue 2 , PP: 29-34, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Near Algebra Over Neutrosophic Field

Bhurgula Harika 1 * , K. Rajani 2 , P. Narasimha Swamy 3 , T. Nagaiah 4 , L. Bhaskar 5

  • 1 Department of Mathematics, GITAM Deemed to be University, Hyderabad Campus, India - (harika.burgula84@gmail.com)
  • 2 Department of Mathematics, GITAM Deemed to be University, Hyderabad Campus, India - (rajanireddy2u@gmail.com)
  • 3 Department of Mathematics, GITAM Deemed to be University, Hyderabad Campus, India - (swamy.pasham@gmail.com )
  • 4 Department of Mathematics, Kakatiya University, Warangal, India - (nagaiahtandu@gmail.com)
  • 5 Department of Mathematics, National Institute of Technology, Raipur, India - ( bhaskarlavudya1226@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.220203

    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 As :
    Harika, Bhurgula. , Rajani, K.. , Narasimha, P.. , Nagaiah, T.. , Bhaskar, L.. Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 29-34. DOI: https://doi.org/10.54216/IJNS.220203
    Harika, B. Rajani, K. Narasimha, P. Nagaiah, T. Bhaskar, L. (2023). Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science, (), 29-34. DOI: https://doi.org/10.54216/IJNS.220203
    Harika, Bhurgula. Rajani, K.. Narasimha, P.. Nagaiah, T.. Bhaskar, L.. Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science , no. (2023): 29-34. DOI: https://doi.org/10.54216/IJNS.220203
    Harika, B. , Rajani, K. , Narasimha, P. , Nagaiah, T. , Bhaskar, L. (2023) . Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science , () , 29-34 . DOI: https://doi.org/10.54216/IJNS.220203
    Harika B. , Rajani K. , Narasimha P. , Nagaiah T. , Bhaskar L. [2023]. Neutrosophic Near Algebra Over Neutrosophic Field. International Journal of Neutrosophic Science. (): 29-34. DOI: https://doi.org/10.54216/IJNS.220203
    Harika, B. Rajani, K. Narasimha, P. Nagaiah, T. Bhaskar, L. "Neutrosophic Near Algebra Over Neutrosophic Field," International Journal of Neutrosophic Science, vol. , no. , pp. 29-34, 2023. DOI: https://doi.org/10.54216/IJNS.220203

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