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Results tagged with matrices
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user 482287
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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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.
- 209