1
Al-Imam Al-Kadhum College For Islamic Science University, Iraq
(basheer.abdrida@alkadhum-col.edu.iq)
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 :
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Style | # |
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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) |