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 matrix_ring [2013/09/17 23:04]nikolaj matrix_ring [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/09/20 09:30 nikolaj 2013/09/17 23:04 nikolaj 2013/09/17 22:43 nikolaj 2013/09/17 22:42 nikolaj 2013/09/17 22:42 nikolaj 2013/09/17 18:15 nikolaj 2013/09/17 18:15 nikolaj 2013/09/17 18:14 nikolaj 2013/09/17 18:03 nikolaj 2013/09/17 17:59 nikolaj old revision restored (2013/09/15 17:37) Next revision Previous revision 2013/09/20 09:30 nikolaj 2013/09/17 23:04 nikolaj 2013/09/17 22:43 nikolaj 2013/09/17 22:42 nikolaj 2013/09/17 22:42 nikolaj 2013/09/17 18:15 nikolaj 2013/09/17 18:15 nikolaj 2013/09/17 18:14 nikolaj 2013/09/17 18:03 nikolaj 2013/09/17 17:59 nikolaj old revision restored (2013/09/15 17:37) Line 1: Line 1: ===== 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 ==== Line 14: Line 14: === Subset of === === Subset of === [[Associative algebra]] [[Associative algebra]] - === Requirements ​=== + === Context ​=== - [[Square ​Matrix]], [[Matrix product]] + [[Square ​matrix]], [[Matrix product]]