Ranks for Families of All Theories of Given Languages

Nurlan Markhabatov; Sergey Sudoplatov

doi:10.32523/2077-9879-2021-12-2-52-58

Ranks for Families of All Theories of Given Languages

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Authors

Nurlan Markhabatov
Sergey Sudoplatov

DOI:

https://doi.org/10.32523/2077-9879-2021-12-2-52-58

Keywords:

family of theories, rank, degree

Abstract

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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Published

2021-06-30

How to Cite

Markhabatov, N., & Sudoplatov, S. (2021). Ranks for Families of All Theories of Given Languages. Eurasian Mathematical Journal, 12(2), 52–58. https://doi.org/10.32523/2077-9879-2021-12-2-52-58