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module [2015/12/11 19:48] nikolaj |
module [2018/05/12 23:47] (current) 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. | ||
- | {{https://www.youtube.com/watch?v=yZ2dO6Fy5Kc}} | + | https://www.youtube.com/watch?v=yZ2dO6Fy5Kc |
=== Reference === | === Reference === |