[FOM] Question about Boolean algebras
Alasdair Urquhart
urquhart at cs.toronto.edu
Fri May 27 15:28:40 EDT 2005
I don't know the answer to Neil Tennant's question, but
Garrett Birkhoff's paper "On the Combination of Subalgebras",
(Proceedings of the Cambridge Philosophical Society, Vol. 29,
received 15 May 1933) has the result. On p. 460, he says:
Thus we see that we have reproved the known result
THEOREM 25.1: The class of finite Boolean algebras, or
finite algebras satisfying !-IV and VII, is abstractly
identical with the class of finite algebras of point-sets
with respect to sum, common part and complement.
He doesn't give a reference for who proved it first.
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