Semiring
Set
context | $X$ |
definiendum | $\langle X,+,* \rangle \in \mathrm{Semiring}(X)$ |
context | $\langle X,+ \rangle \in \mathrm{AbelianMonoid}(X)$ |
$a,b,c\in X$ |
postulate | $(a*b)*c=a*(b*c)$ |
postulate | $a*(b+c)=(a*b)+(a*c)$ |
postulate | $(b+c)*a=(b*a)+(c*a)$ |
Discussion
Reference
Wikipedia: Semiring