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unital_ring [2014/05/26 10:45] nikolaj |
unital_ring [2015/02/02 19:08] nikolaj |
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| ===== Unital ring ===== | ===== Unital ring ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#55CCEE: context | @#55CCEE: $X$ | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{it}$ | | ||
| | @#55CCEE: context | @#55CCEE: $\langle X,+,* \rangle \in \mathrm{ring}(X)$ | | | @#55CCEE: context | @#55CCEE: $\langle X,+,* \rangle \in \mathrm{ring}(X)$ | | ||
| - | | @#55CCEE: context | @#55CCEE: $\langle X,* \rangle \in \mathrm{monoid}(X)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{it}$ | |
| + | | @#55EE55: postulate | @#55EE55: $\langle X,* \rangle \in \mathrm{monoid}(X)$ | | ||
| - | ==== Ramifications ==== | + | ----- |
| - | === Discussion === | + | |
| The second requirement implies that there is an identiy for the binary operation $*$. | The second requirement implies that there is an identiy for the binary operation $*$. | ||
| Line 13: | Line 11: | ||
| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Ring_%28mathematics%29|Ring]] | Wikipedia: [[http://en.wikipedia.org/wiki/Ring_%28mathematics%29|Ring]] | ||
| - | ==== Parents ==== | + | |
| + | ----- | ||
| === Subset of === | === Subset of === | ||
| [[Ring]] | [[Ring]] | ||
