Ranks for families of all theories of given languages
Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 52-58

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For families of all theories of arbitrary given languages we describe ranks and degrees. In particular, we characterize (non-)totally transcendental families. We apply these characterizations for the families of all theories of given languages, with models of given finite or infinite cardinality.
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     title = {Ranks for families of all theories of given languages},
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N. D. Markhabatov; S. V. Sudoplatov. Ranks for families of all theories of given languages. Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 52-58. http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a5/