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Full Length Article
International Journal of Neutrosophic Science
Volume 18 , Issue 3, PP: 48-58 , 2022 | Cite this article as | XML | Html |PDF

Title

A Contribution to the Group of Units' Problem in Some 2-Cyclic Refined Neutrosophic Rings

Authors Names :   Basheer Abd Al Rida Sadi   1 *  

1  Affiliation :  Al-Imam Al-Kadhum College For Islamic Science University, Iraq

    Email :  basheer.abdrida@alkadhum-col.edu.iq



Doi   :   https://doi.org/10.54216/IJNS.180304

Received: January 18, 2022 Accepted: April 11, 2022

Abstract :

This paper is dedicated to study the group of units problem in some 2-cyclic refined neutrosophic rings, where it presents a full classification of the group of units in 2-cyclic refined neutrosophic ring of integers  , 2-cyclic refined neutrosophic ring of integers modulo 2 and 3 ,  and 2-cyclic refined neutrosophic ring of real numbers , as direct products of the cyclic groups. On the other hand, this work provides a necessary and sufficient condition for the invertibility of any square 2-cyclic refined neutrosophic real matrix. Also, we will illustrate some examples to clarify the validity of our work.

Keywords :

2-cyclic refined rings; group of units; invertible; neutrosophic ring

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Cite this Article as :
Basheer Abd Al Rida Sadi, A Contribution to the Group of Units' Problem in Some 2-Cyclic Refined Neutrosophic Rings, International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 48-58 (Doi   :  https://doi.org/10.54216/IJNS.180304)