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Title

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 :
Style #
MLA Mehmet Celik, Necati Olgun. "On The Classification of Neutrosophic Complex Inner Product Spaces." Galoitica: Journal of Mathematical Structures and Applications, Vol. 2, No. 1, 2022 ,PP. 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
APA Mehmet Celik, Necati Olgun. (2022). On The Classification of Neutrosophic Complex Inner Product Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 1 ), 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
Chicago Mehmet Celik, Necati Olgun. "On The Classification of Neutrosophic Complex Inner Product Spaces." Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 no. 1 (2022): 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
Harvard Mehmet Celik, Necati Olgun. (2022). On The Classification of Neutrosophic Complex Inner Product Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 1 ), 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
Vancouver Mehmet Celik, Necati Olgun. On The Classification of Neutrosophic Complex Inner Product Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 2 ( 1 ): 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)
IEEE Mehmet Celik, Necati Olgun, On The Classification of Neutrosophic Complex Inner Product Spaces, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 2 , No. 1 , (2022) : 29-32 (Doi   :  https://doi.org/10.54216/GJMSA.020104)