Geodesic
Countably categorical and autostable Boolean algebras with distinguished ideals
Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 3-24.

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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. 
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P. E. Alaev. Countably categorical and autostable Boolean algebras with distinguished ideals. Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 3-24. http://geodesic.mathdoc.fr/item/MT_2008_11_1_a0/

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