Geodesic
Isomorphy Types of Expanded Superatomic Ershov Algebras
Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 182-201.

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Countable superatomic Ershov algebras with distinguished ideal are studied. A classification is given of isomorphy types of countable superatomic Ershov algebras with distinguished ideal and ordinal type at most $\omega$. It is proven that, for a sufficiently wide class of elementary theories $T$, there exist continuum many nonisomorphic countable Ershov algebras with distinguished ideal and countable ordinal type of a given theory $T$. 
@article{MT_2000_3_2_a7,
     author = {A. V. Trofimov},
     title = {Isomorphy {Types} of {Expanded} {Superatomic} {Ershov} {Algebras}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {182--201},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2000_3_2_a7/}
}
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A. V. Trofimov. Isomorphy Types of Expanded Superatomic Ershov Algebras. Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 182-201. http://geodesic.mathdoc.fr/item/MT_2000_3_2_a7/