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module [2014/03/21 11:11] 127.0.0.1 external edit |
module [2018/05/12 23:47] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $M,R$ | | | @#55CCEE: context | @#55CCEE: $M,R$ | | ||
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| | @#55EE55: postulate | @#55EE55: $\langle\mathcal M,\mathcal R, *\rangle \in \mathrm{module}(\mathcal M,\mathcal R)$ | | | @#55EE55: postulate | @#55EE55: $\langle\mathcal M,\mathcal R, *\rangle \in \mathrm{module}(\mathcal M,\mathcal R)$ | | ||
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| | @#55CCEE: context | @#55CCEE: $\langle\mathcal M,\mathcal R, *\rangle \in \mathrm{leftModule}(\mathcal M,\mathcal R)$ | | | @#55CCEE: context | @#55CCEE: $\langle\mathcal M,\mathcal R, *\rangle \in \mathrm{leftModule}(\mathcal M,\mathcal R)$ | | ||
| | @#55CCEE: context | @#55CCEE: $\mathcal M\in \mathrm{abelianGroup}(M)$ | | | @#55CCEE: context | @#55CCEE: $\mathcal M\in \mathrm{abelianGroup}(M)$ | | ||
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| 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. | ||
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| + | https://www.youtube.com/watch?v=yZ2dO6Fy5Kc | ||
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| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Module_%28mathematics%29|Module]] | Wikipedia: [[http://en.wikipedia.org/wiki/Module_%28mathematics%29|Module]] | ||
