2017/10/19 by Steve Szabo, Szabo, Steve
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.1710.07338
arxiv created 2017/10/19 · arxiv updated 2017/10/23
Marks showed that \mathbbF2Q8, the \mathbbF2 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 \mathbbF2Q8 is a duo ring, there are also examples of minimal reversible nonsymmetric rings which are nonduo.