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Countably-categorical Boolean algebras with distinguished ideals

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Abstract

In the paper all countable Boolean algebras with m distinguished. ideals having countably-categorical elementary theory are described and constructed. From the obtained characterization it follows that all countably-categorical elementary theories of Boolean algebras with distinguished ideals are finite-axiomatizable, decidable and, consequently, their countable models are strongly constructivizable.

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  1. Institute of Mathematics of the Siberian Division of the Academy of Sciences of the USSR, 630090, Novosibirsk, USSR

    D. E. Pal'chunov

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  1. D. E. Pal'chunov
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Pal'chunov, D.E. Countably-categorical Boolean algebras with distinguished ideals. Stud Logica 46, 121–135 (1987). https://doi.org/10.1007/BF00370375

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