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International Journal of Neutrosophic Science
Volume 18 , Issue 1, PP: 08-13 , 2022 | Cite this article as | XML | Html |PDF


A Short Note on Some Novel Applications of Semi Module Homomorphisms

Authors Names :   Mohammad Abobala   1 *     Mikail Bal   2     Malath Aswad   3  

1  Affiliation :  Tishreen University, Department of Mathematics, Syria

    Email :  mohammadabobala777@gmail.com

2  Affiliation :  Gaziantep University, Department of Mathematics, Turkey

    Email :  mikailbal46@hotmail.com

3  Affiliation :  Albaath University, Department of Mathematics, Syria

    Email :  Malaz.aswad@yahoo.com

Doi   :   https://doi.org/10.54216/IJNS.180101

Received: May 30, 2021 Accepted: Jan 01, 2022

Abstract :

In this paper, we study the algebraic relationships between n- refined neutrosophic modules by using semi-module homomorphisms. On the other hand, this work shows the relationship between neutrosophic geometrical AH-isometry and semi-module isomorphisms. 

Keywords :

AH-isometry; Semi homomorphism; semi isomorphism; n-refined neutrosophic module

References :

[1] Smarandache, F., " A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability", American Research Press. Rehoboth, 2003.

[2] Abobala, M., Hatip, A., and Bal, M., " A Review On Recent Advantages In Algebraic Theory Of Neutrosophic Matrices", IJNS, Vol.17, 2021. 

[3] Agboola, A.A.A., "On Reļ¬ned Neutrosophic Algebraic Structures", NSS,Vol.10, pp. 99-101. 2015.

[4] Abobala, M., " A Study Of Nil Ideals and Kothe's Conjecture In Neutrosophic Rings", International Journal of Mathematics and Mathematical Sciences", Hindawi, 2021

[5] Olgun, N., Hatip, A., Bal. M., and Abobala, M., "A novel approach to necessary and sufficient conditions for the diagonalization of refined neutrosophic matrices", IJNS,  2021.

[6] Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 39, 2021.

[7] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

[8] Abobala, M., "Neutrosophic Real Inner Product Spaces", NSS, Vol. 43, 2021.

[9] Abobala, M., and Hatip, A., "An Algebraic Approch To Neutrosophic Euclidean Geometry", NSS, Vol. 43, 2021.

[10] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", NSS , Vol. 45, 2021. 

Cite this Article as :
Mohammad Abobala , Mikail Bal , Malath Aswad, A Short Note on Some Novel Applications of Semi Module Homomorphisms, International Journal of Neutrosophic Science, Vol. 18 , No. 1 , (2022) : 08-13 (Doi   :  https://doi.org/10.54216/IJNS.180101)