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module [2013/08/07 14:19] nikolaj |
module [2013/08/31 21:24] nikolaj |
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| | @#55EE55: $r*s=s*r$ | | | @#55EE55: $r*s=s*r$ | | ||
| - | ==== Ramifications ==== | + | ==== Discussion ==== |
| - | === Discussion === | + | |
| A module is a left module with a //commutative// ring acting on the group. | A module is a left module with a //commutative// ring acting on the group. | ||
| One generally speaks of an $R$-module over $M$. Here $R$ and $M$ are just sets. | One generally speaks of an $R$-module over $M$. Here $R$ and $M$ are just sets. | ||
| - | ==== Reference ==== | + | === Reference === |
| Wikipedia: [[http://en.wikipedia.org/wiki/Module_%28mathematics%29|Module]] | Wikipedia: [[http://en.wikipedia.org/wiki/Module_%28mathematics%29|Module]] | ||
| ==== Context ==== | ==== Context ==== | ||
| === Subset of === | === Subset of === | ||
| [[Left module]] | [[Left module]] | ||
