Project Title

Minimal Reversible Nonsymmetric Rings

Presenter Information

Steve Szabo, szabosFollow

Department

Mathematics and Statistics

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

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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.