| 1. | Similarly, every Boolean algebra becomes a Boolean ring thus:
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| 2. | A similar proof shows that every Boolean ring is commutative:
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| 3. | Every Boolean ring disjunction ( ", which would constitute a semiring ).
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| 4. | Boolean rings are named after the founder of Boolean algebra, George Boole.
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| 5. | Why was the concept of a Boolean ring introduced?
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| 6. | Thus every Boolean ring becomes a Boolean algebra.
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| 7. | In particular, any finite Boolean ring has as cardinality a power of two.
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| 8. | I am wondering whether there is an abstraction of the concept of a Boolean ring.
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| 9. | Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.
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| 10. | He adopted this terminology because, using the Boolean algebras and of Boolean rings, the two notions do indeed coincide.
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