Definition:Semiring of Sets

Also see

 * Equivalence of Definitions of Semiring of Sets


 * Set of Empty Set is Semiring of Sets: $\SS = \set \O$ is a semiring of sets
 * Half-Open Rectangles form Semiring of Sets: the half-open $n$-rectangles form a semiring of sets
 * Cartesian Product of Semirings of Sets: the Cartesian product of two semirings of sets is again a semiring of sets