Proc. Amer. Math. Soc.
 1987
DOI: 10.1090/s0002-9939-1987-0883419-8
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Boolean reducts of relation and cylindric algebras and the cube problem

Hajnal Andréka1

Abstract: Abstract.It is shown that not every Boolean algebra is the Boolean part of a nondiscrete relation or cylindric algebra, but every nonatomless Boolean algebra is. Solutions of Tarski's Cube Problem for nondiscrete relation and cylindric algebras are given.

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