B. Sh. Kulpeshov, S. V. Sudoplatov, “Properties of ranks for families of strongly minimal theories”, Sib. Èlektron. Mat. Izv., 2022, Volume 19, Issue 1,Pages <nobr>120

This article is cited in 3 papers

Mathematical logic, algebra and number theory

Properties of ranks for families of strongly minimal theories

B. Sh. Kulpeshov^ab, S. V. Sudoplatov^bc

^a Kazakh British Technical University, 59, Tole bi str., Almaty, 050000, Kazakhstan
^b Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
^c Sobolev Institute of Mathematics, 4, Acad. Koptyug ave., Novosibirsk, 630090, Russia

Abstract: We study rank properties for families of strongly minimal theories. A criterion for $e$-total transcendence of families of strongly minimal theories is obtained in terms of the description of the language symbols.

Keywords: strongly minimal theory, sentence, family of theories, rank for a family of theories.

UDC: 510.67

MSC: 03C07, 03C52

Received December 17, 2021, published February 14, 2022

Language: English

DOI: 10.33048/semi.2022.19.011