This is an old revision of the document!
Semiring
Definition
$X$ |
$\langle X,+,* \rangle \in \mathrm{SemiRing}(X)$ |
$\langle X,+ \rangle \in \mathrm{AbelianMonoid}(X)$ |
$a,b,c\in X$ |
$(a*b)*c=a*(b*c)$ |
$a*(b+c)=(a*b)+(a*c)$ |
$(b+c)*a=(b*a)+(c*a)$ |
Discussion
Reference
Wikipedia: Semiring