Ranks for Families of All Theories of Given Languages

Nurlan Markhabatov; Sergey Sudoplatov

Ranks for Families of All Theories of Given Languages

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Authors

Nurlan Markhabatov
Sergey Sudoplatov

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

2021-06-02

How to Cite

Markhabatov, N., & Sudoplatov, S. (2021). Ranks for Families of All Theories of Given Languages. Eurasian Mathematical Journal, 12(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/215