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Results tagged with division-rings
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user 482287
A division ring is a possibly noncommutative ring where every nonzero element has a two-sided multiplicative inverse.
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Full matrix ring over an infinite division ring with a finite maximal unital subring?
I'm wondering if there is an infinite division ring $D$ and a finite unital subring $R$ of the full matrix ring $M_n(D)$ ($n$ some positive integer) such that there are no rings properly between $R$ a …
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Full matrix ring over an infinite division ring with a finite maximal unital subring?
If a ring has a finite maximal subring, the ring itself is finite. This appears to be due to Laffey from 1992.
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