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Galoitica: Journal of Mathematical Structures and Applications

Volume 2 , Issue 1 , PP: 29-32, 2022 | Cite this article as | XML | Html | PDF

On The Classification of Neutrosophic Complex Inner Product Spaces

Mehmet Celik 1 * , Necati Olgun 2

  • 1 Department Of Mathematics, Gaziantep University, Gaziantep, Turkey - (mathcelik@gmail.com)
  • 2 Department Of Mathematics, Gaziantep University, Gaziantep, Turkey - (olgun@gantep.edu.tr)

    • Doi: https://doi.org/10.54216/GJMSA.020104

    Received: March 03, 2022 Accepted: July 18, 2022
    Abstract

    The objective of this paper is to study the neutrosophic complex inner product spaces over neutrosophic complex field C(I). Also, it determines the necessary and sufficient condition of a neutrosophic complex vector space to be a complex inner product space by using semi module isomorphisms.

    Keywords :

    Neutrosophic vector space , neutrosophic complex number , neutrosophic inner product.

    References

    [1] Abobala, M., Ziena, B,M., Doewes, R., and Hussein, Z., "The Representation Of Refined Neutrosophic

    Matrices By Refined Neutrosophic Linear Functions", International Journal Of Neutrosophic Science,

    2022.

    [2] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient

    Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of

    Neutrosophic Science, Vol. 16, pp. 72-79, 2021.

    [3] E. Adeleke. A. Agboola. , and F. Smarandache. Refined Neutrosophic Rings II. International Journal of

    Neutrosophic Science, Vol. 2, 2020. pp. 89-94.

    [4] E. Adeleke. A. Agboola. , and F. Smarandache. Refined Neutrosophic Rings I. International Journal of

    Neutrosophic Science, Vol. 2, 2020, pp. 77-81.

    [5] V. Kandasamy and F. Smarandache. Some Neutrosophic Algebraic Structures and Neutrosophic NAlgebraic

    Structures", Hexis, Phonex, Arizona, pp.125-240, 2006.

    [6] A. Hatip and N.Olgun. On Refined Neutrosophic R-Module. International Journal of Neutrosophic

    Science, Vol. 7, 2020, pp.87-96.

    [7] M. Ibrahim. A. Agboola, B.Badmus and S. Akinleye. On refined Neutrosophic Vector Spaces .

    International Journal of Neutrosophic Science, Vol. 7, 2020, pp. 97-109.

    [8] Abobala, M., Hatip, A., Bal,M.," A Study Of Some Neutrosophic Clean Rings", International journal of

    neutrosophic science, 2022.

    [9] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic

    Rings", Neutrosophic Sets and Systems, Vol. 45, 2021.

    [10] Abobala, M., and Hatip, A., "An Algebraic Approach To Neutrosophic Euclidean Geometry",

    Neutrosophic Sets and Systems, Vol. 43, 2021.

    [11] Smarandache, F., "Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets", Inter. J. Pure

    Appl. Math., pp. 287-297. 2005.

    [12] Smarandache, F., " A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set,

    Neutrosophic Probability", American Research Press. Rehoboth, 2003.

    [13] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module

    Homomorphisms", International journal of neutrosophic science, 2022.

    [14] Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, Vol. 43,

    2021.

    [15] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module

    Homomorphisms", International journal of neutrosophic science, 2022.

    Cite This Article As :
    Mehmet Celik, Necati Olgun. "On The Classification of Neutrosophic Complex Inner Product Spaces." Full Length Article, Vol. 2, No. 1, 2022 ,PP. 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
    Mehmet Celik, Necati Olgun. (2022). On The Classification of Neutrosophic Complex Inner Product Spaces. Journal of , 2 ( 1 ), 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
    Mehmet Celik, Necati Olgun. "On The Classification of Neutrosophic Complex Inner Product Spaces." Journal of , 2 no. 1 (2022): 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
    Mehmet Celik, Necati Olgun. (2022). On The Classification of Neutrosophic Complex Inner Product Spaces. Journal of , 2 ( 1 ), 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
    Mehmet Celik, Necati Olgun. On The Classification of Neutrosophic Complex Inner Product Spaces. Journal of , (2022); 2 ( 1 ): 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
    Mehmet Celik, Necati Olgun, On The Classification of Neutrosophic Complex Inner Product Spaces, Journal of , Vol. 2 , No. 1 , (2022) : 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)

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