328 187
Full Length Article
Volume 0 - 2019 , Issue II- Vol 0, PP: 67-76 , 2019

Title

A Contribution to Neutrosophic Groups

Authors Names :   Mohammad Abobala   1 *     Ahmed Hatip   2     Riad K. Alhamido   3  

1  Affiliation :  Faculty of Science, Tishreen University, Lattakia, Syria

    Email :  mohammadabobala777@gmail.com


2  Affiliation :  Department of Mathematics, Gaziantip University, Turkey

    Email :  kollnaar5@gmail.com


3  Affiliation :  Faculty of Science, Alfurat University, Deir Ezor, Syria

    Email :  riad-hamido1983@hotmail.com



Doi   :  10.5281/zenodo.3929852

Received: March 15, 2019 Revised: May 17, 2019 Accepted: June 23, 2019

Abstract :

The objective of this paper is to define some  new substructures (AH-substructures) in a neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, AH-quotients and AH-direct products.

Keywords :

Neutrosophic group , AH- subgroup , AH- homomorphism , AH-quotient.

References :

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[11] Rotman, J.,  "The Theory of Groups", University of Illinois, Urbana, pp. 120-180, 1971.