N. D. Markhabatov, S. V. Sudoplatov, “Ranks for families of all theories of given languages”, Eurasian Math. J., 2021, Volume 12, Number 2,Pages <nobr>52

This article is cited in 10 papers

Ranks for families of all theories of given languages

N. D. Markhabatov^a, S. V. Sudoplatov^ab

^a Department of Applied Mathematics and Computer Science, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073, Novosibirsk, Russia
^b Laboratory of Logic Systems, Sobolev Institute of Mathematics SB RAS, 4 Academician Koptyug Avenue, 630090, Novosibirsk, Russia

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.

Keywords and phrases: family of theories, rank, degree.

MSC: 03C30, 03C15, 03C50, 54A05

Received: 15.12.2019

Language: English

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