algebra of sets

algebra of sets

noun Mathematics.
a nonempty collection of sets having the property that the union of two sets of the collection is a set of the collection and the complement of each set of the collection is a set in the collection.
Compare Boolean ring.
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Algebra of sets is always a great word to know.
So is reduce. Does it mean:
the smallest number that is a common multiple of a given set of numbers
to change the denomination or form, but not the value, of a fraction or polynomial
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