Boolean-ring Definition
noun
(algebra) A ring whose multiplicative operation is idempotent.
Let be the ring of integers and let be its ideal of even integers. Then the quotient ring is a Boolean ring.
By Stone's Representation Theorem, the elements of a Boolean ring can be modeled as sets, with the additive operation corresponding to symmetric difference, and the multiplicative operation to set intersection.
Wiktionary
Other Word Forms of Boolean-ring
Noun
Singular:
boolean-ring
Plural:
boolean-rings
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