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commutative_semiring [2014/02/01 19:10] nikolaj old revision restored (2013/09/02 22:56) |
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 ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
- | | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{CommSemiring}(X)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{CommSemiring}(X)$ | |
- | | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{SemiRing}(X)$ | | + | | @#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 ==== | ||
=== Reference === | === Reference === | ||
Wikipedia: [[https://en.wikipedia.org/wiki/Semiring|Semiring]] | Wikipedia: [[https://en.wikipedia.org/wiki/Semiring|Semiring]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
- | === Requirements === | + | === Context === |
[[Semiring]] | [[Semiring]] |