Countably categorical and autostable Boolean algebras with distinguished ideals
Pavel E. Alaev · Siberian Advances in Mathematics · 2008
We study countable Boolean algebras with finitely many distinguished ideals (countable I -algebras) whose elementary theory is countably categorical, and autostable I -algebras which form their subclass. We propose a new characterization for the former class that allows to answer a series of questions about the structure of countably categorical and autostable I -algebras.