Abstract

Marks showed that F2Q8, the F2 group algebra over the quaternion group, is a reversible nonsymmetric ring, then questioned whether or not this ring is minimal with respect to cardinality. In this work, it is shown that the cardinality of a minimal reversible nonsymmetric ring is indeed 256. Furthermore, it is shown that although F2Q8 is a duo ring, there are also examples of minimal reversible nonsymmetric rings which are nonduo.

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