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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

  Basheer Abd Al Rida Sadi 1 *

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

References :

[1]. Edalatpanah. S.A., "Systems of Neutrosophic Linear Equations", NSS. 2020.

[2]. M. Abobala. n-Cyclic Refined Neutrosophic Algebraic Systems Of Sub-Indeterminacies, An Application To

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Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021


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