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commutative_semiring [2013/12/21 19:57] 127.0.0.1 external edit |
commutative_semiring [2014/09/19 05:46] ben at least you're not the only one affected by your indecisiveness |
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| ===== Commutative semiring ===== | ===== Commutative semiring ===== | ||
| - | ==== Set ==== | + | ==== Definition ==== |
| - | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
| - | | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{CommSemiring}(X)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{CommSemiring}(X)$ | |
| - | | @#88DDEE: $\langle X,+,* \rangle \in \mathrm{SemiRing}(X)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{SemiRing}(X)$ | |
| | $a,b\in X$ | | | $a,b\in X$ | | ||
| - | | @#55EE55: $a*b=b*a$ | | + | | @#55EE55: postulate | @#55EE55: $a*b=b*a$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| Line 15: | Line 15: | ||
| Wikipedia: [[https://en.wikipedia.org/wiki/Semiring|Semiring]] | Wikipedia: [[https://en.wikipedia.org/wiki/Semiring|Semiring]] | ||
| ==== Parents ==== | ==== Parents ==== | ||
| - | === Requirements === | + | === Context === |
| [[Semiring]] | [[Semiring]] | ||
