About this article
Published Online: Jun 02, 2022
Page range: 63 - 89
Received: Jun 09, 2021
Accepted: Oct 10, 2021
DOI: https://doi.org/10.2478/auom-2022-0019
Keywords
© 2022 Grigore Călugăreanu et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
A ring is called
In this paper, we develop the theory of the negative rings, with special emphasis on finding the clean matrices which have (or have not) clean negatives. Many explicit results are proved for 2 × 2 matrices and some hard to solve quadratic Diophantive equations are displayed.