Minimal Reversible Nonsymmetric Rings
Department
Mathematics and Statistics
Recommended Citation
Szabo, Steve, "Minimal Reversible Nonsymmetric Rings" (2018). University Presentation Showcase Event. 19.
https://encompass.eku.edu/swps/2018/faculty/19
Abstract
Marks showed that there exists a reversible non-symmetric ring of order 256 and then questioned whether or not this ring is minimal with respect to cardinality. In this work, it was shown that the cardinality of a minimal reversible non-symmetric ring is indeed 256. Furthermore, it was shown that although Marks' example is a duo ring, there are also examples of minimal reversible non-symmetric rings which are non-duo.
Presentation format
Poster
Minimal Reversible Nonsymmetric Rings
Marks showed that there exists a reversible non-symmetric ring of order 256 and then questioned whether or not this ring is minimal with respect to cardinality. In this work, it was shown that the cardinality of a minimal reversible non-symmetric ring is indeed 256. Furthermore, it was shown that although Marks' example is a duo ring, there are also examples of minimal reversible non-symmetric rings which are non-duo.
