Theory on Duplicity of Finite Neutrosophic Rings
T. Chalapathi, K. Kumaraswamy Naidu, D. Harish Babu, F. Smarandache · PhilPapers (PhilPapers Foundation) · 2023
This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup R( ) and neutrosophic duplex ring Dup R I by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup Z n , Dup Dup Z n and Dup Dup Dup Z n for the cyclic ring Z n . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R R is different from the duplex ring Dup R . However, this characterization supports that R R Dup R for some well known rings, namely zero rings and finite fields.