My professor wrote that we get a Boolean algebra from a Boolean ring (R,+,-,.,0,1) by setting xANDy=xy, xORy=x+y+xy and xNOT=1+x.(adsbygoogle = window.adsbygoogle || []).push({});

But it seems to me that xNOT is not an involution. I.e., (xNOT)NOT = 1+(1+x), which is not x.

(xNOT=-x would do the trick though)

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# Boolean rings and Boolean algebras

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