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Summary Of: Boolean ring

A Boolean ring is essentially the same thing as a... Boolean ring possibly without an identity... to mean a Boolean ring with an identity... every Boolean ring is isomorphic to a field of sets... Thus every Boolean ring becomes a Boolean algebra... If a Boolean ring is translated into a Boolean algebra in this way... of a Boolean ring modulo a ring ideal corresponds to the factor algebra of the corresponding Boolean algebra modulo... of a Boolean ring is a Boolean ring...

Encyclodia Page On: Boolean ring

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mathematics | ring | idempotent | Boolean algebra | conjunction | meet | exclusive disjunction | symmetric difference | disjunction | power set | symmetric difference | intersection | finite | field of sets | Stone's representation theorem | exclusive or | Boolean algebra | ring homomorphism | if and only if | ring ideal | order ideal | quotient ring | commutative | associative algebra | field | cardinality | power of two | polynomial ring | subring | prime ideal | maximal | quotient ring | integral domain | field | von Neumann regular rings | flat | principal | Atiyah, Michael Francis | Macdonald, I.G. | ISBN 978-0-201-40751-8 | Encyclopaedia of Mathematics | ISBN 978-1556080104 | Categories | Ring theory | Boolean algebra |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Boolean ring".