Countably-categorical Boolean algebras with distinguished ideals

Studia Logica 46 (2):121 - 135 (1987)
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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