Semiring of Sets
A semiring (of sets) is a non-empty collection S of sets such that
- If and then .
- If and then there exists a finite number of mutually disjoint sets for such that .
Such semirings are used in measure theory. An example of a semiring of sets is the collection of half-open, half-closed real intervals .
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Famous quotes containing the word sets:
“There is the name and the thing; the name is a sound which sets a mark on and denotes the thing. The name is no part of the thing nor of the substance; it is an extraneous piece added to the thing, and outside of it.”
—Michel de Montaigne (1533–1592)