Volume 18 • Issue 3 • PP: 48-58 • 2022
A Contribution to the Group of Units' Problem in Some 2-Cyclic Refined Neutrosophic Rings
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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