Hajnal Andréka
Abstract
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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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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.
Key concepts: Relation algebra, Two-element Boolean algebra, Boolean algebras canonically defined, Stone's representation theorem for Boolean algebras, Free Boolean algebra, Cube (algebra), Complete Boolean algebra, Relation (database)