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matrix_ring [2013/09/17 22:43] nikolaj |
matrix_ring [2014/03/21 11:11] (current) |
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| ===== Matrix ring ===== | ===== Matrix ring ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $n\in \mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $n\in \mathbb N$ | |
| - | | @#88DDEE: $R$ ... ring | | + | | @#55CCEE: context | @#55CCEE: $R$ ... ring | |
| - | | @#FFBB00: $ \langle \mathrm{SquareMatrix}(n,R),* \rangle \in \mathrm{it}(n,R) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \langle \mathrm{SquareMatrix}(n,R),* \rangle \in \mathrm{it}(n,R) $ | |
| - | | @#55EE55: $ * $ ... matrix product w.r.t. $n\times n$ square matrices | | + | | @#55EE55: postulate | @#55EE55: $ * $ ... matrix product w.r.t. $n\times n$ square matrices | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| + | === Reference === | ||
| + | Wikipedia: [[http://en.wikipedia.org/wiki/Matrix_ring|Matrix ring]] | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Subset of === | === Subset of === | ||
| [[Associative algebra]] | [[Associative algebra]] | ||
| - | === Requirements === | + | === Context === |
| - | [[Square Matrix]], [[Matrix product]] | + | [[Square matrix]], [[Matrix product]] |
