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semiring [2013/08/31 18:27] nikolaj |
semiring [2013/09/02 22:57] nikolaj |
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| @#88DDEE: $X$ | | | @#88DDEE: $X$ | | ||
- | | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{SemiRing}(X)$ | | + | | @#FFBB00: $\langle X,+,* \rangle \in \mathrm{Semiring}(X)$ | |
| @#88DDEE: $\langle X,+ \rangle \in \mathrm{AbelianMonoid}(X)$ | | | @#88DDEE: $\langle X,+ \rangle \in \mathrm{AbelianMonoid}(X)$ | | ||
Line 12: | Line 12: | ||
| @#55EE55: $(b+c)*a=(b*a)+(c*a)$ | | | @#55EE55: $(b+c)*a=(b*a)+(c*a)$ | | ||
- | ==== Ramifications ==== | + | ==== Discussion ==== |
- | === Discussion === | + | === Reference === |
- | ==== Reference ==== | + | |
Wikipedia: [[https://en.wikipedia.org/wiki/Semiring|Semiring]] | Wikipedia: [[https://en.wikipedia.org/wiki/Semiring|Semiring]] | ||
==== Context ==== | ==== Context ==== | ||
=== Requirements === | === Requirements === | ||
[[Abelian monoid]] | [[Abelian monoid]] |