# Abstract Algebra - Boolean ring

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A ring R is called a Boolean ring if a^2=a for all a?R. Let R=P(X)be the power set of X. Define addition and multiplication in R as follows:

a+b=(a?b^')?(a^'?b)

a×b=a?b

Show that (R,+,*) is a Boolean ring.

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The expert examines abstract algebra for the Boolean ring.

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