Volume 18 , Issue 3 , PP: 48-58, 2022 | Cite this article as | XML | Html | PDF | Full Length Article
Basheer Abd Al Rida Sadi 1 *
Doi: https://doi.org/10.54216/IJNS.180304
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.
2-cyclic refined rings , group of units , invertible , , neutrosophic ring
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