Maximal Subrings and Covering Numbers of Finite Semisimple Rings |
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Authors: | G Peruginelli |
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Affiliation: | Department of Mathematics, University of Padova, Padova, Italy |
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Abstract: | We classify the maximal subrings of the ring of n×n matrices over a finite field, and show that these subrings may be divided into three types. We also describe all of the maximal subrings of a finite semisimple ring, and categorize them into two classes. As an application of these results, we calculate the covering number of a finite semisimple ring. |
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Keywords: | Covering number finite field matrix ring maximal subring semisimple ring |
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