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left_module [2013/08/07 14:17] nikolaj |
left_module [2013/08/07 14:19] nikolaj |
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| "$*$" is an action of the ring on the group from the left. If the ring is commutative, then one need not distinguish between left- and right module. | "$*$" is an action of the ring on the group from the left. If the ring is commutative, then one need not distinguish between left- and right module. | ||
| - | One generally (also) calls $M$ the module. | + | One generally speaks of an $R$-left-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]] | ||
