Abstract
AbstractWe prove that the strong Martin conjecture is false. The counterexample is the first-order theory of infinite atomic Boolean algebras. We show that for this class of Boolean algebras, the classification of their (ω + ω)-elementary theories can be reduced to the classification of the elementary theories of their quotient algrbras modulo the Frechét ideals.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. The -Vaught’s conjecture;Transactions of the American Mathematical Society;2023-05-31
2. On L?,? complete extensions of complete theories of Boolean algebras;Archive for Mathematical Logic;2004-02-02