|
simple ring: Definition and Much More from Answers.com (256 words) |
 | According to the Artin-Wedderburn theorem, every simple ring that is left or right Artinian is a matrix ring over a division ring. |
| In particular, the only simple rings that are a finite-dimensional vector space over the real numbers are rings of matrices over either the real numbers, the complex numbers, or the quaternions. |
| An example of a simple ring that is not a matrix ring over a division ring is the Weyl algebra. |
| matrix group: Information from Answers.com (842 words) |
| In mathematics, a matrix group is a group where each element is a matrix, and the binary operation is given by matrix multiplication. |
| When the underlying ring of the matrix group is the real numbers, these matrix groups define Lie groups. |
| In particular representation theory studies homomorphisms from a group into a matrix group and character theory studies homomorphisms from a group into a field given by the trace of a representation. |
Feeds |
Contact