N. D. Markhabatov, S. V. Sudoplatov, “Algebras for definable families of theories”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>600

This article is cited in 4 papers

Mathematical logic, algebra and number theory

Algebras for definable families of theories

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

^a Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
^b Sobolev Institute of Mathematics, 4, Academician Koptyug ave., Novosibirsk, 630090, Russia
^c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: We consider algebras associated with sentence-definable and diagram-definable subfamilies of families of theories. Topological properties and ranks for these algebras are characterized.

Keywords: family of theories, definable subfamily, algebra for definable subfamilies, rank, degree.

UDC: 510.67

MSC: 03C30,03C45,03C50,06E15,54A05

Received February 11, 2019, published April 26, 2019

Language: English

DOI: 10.33048/semi.2019.16.037