
arXiv: 1710.07338
Marks showed that $\mathbb{F}_2Q_8$, the $\mathbb{F}_2$ 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 $\mathbb{F}_2Q_8$ is a duo ring, there are also examples of minimal reversible nonsymmetric rings which are nonduo.
finite rings, symmetric rings, minimal rings, Associative rings and algebras arising under various constructions, Mathematics - Rings and Algebras, Rings and Algebras (math.RA), FOS: Mathematics, Generalizations of commutativity (associative rings and algebras), reversible rings, Finite rings and finite-dimensional associative algebras, 2-primal rings
finite rings, symmetric rings, minimal rings, Associative rings and algebras arising under various constructions, Mathematics - Rings and Algebras, Rings and Algebras (math.RA), FOS: Mathematics, Generalizations of commutativity (associative rings and algebras), reversible rings, Finite rings and finite-dimensional associative algebras, 2-primal rings
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