Using the theorem that in any boolean ring a+a=0 for all a in boolean ring R.(adsbygoogle = window.adsbygoogle || []).push({});

Then 0 is in R. Make the multiplicative identity 1 is also in it. Therefore R can only take 0 and 1 and no more because 1+1=0. 0+0=0. 1+0=1 always. So 2 or other elements can never occur.

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# Boolean rings with identity can only take 2 elements?

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