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. 
@article{MT_2008_11_1_a0,
     author = {P. E. Alaev},
     title = {Countably categorical and autostable {Boolean} algebras with distinguished ideals},
     journal = {Matemati\v{c}eskie trudy},
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     publisher = {mathdoc},
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     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2008_11_1_a0/}
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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/