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Algebra Logika, 2022 Volume 61, Number 4, Pages 443–460 (Mi al2721)

Boolean algebras autostable relative to $n$-decidable presentations

M. N. Gaskova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We give an algebraic description of Boolean algebras autostable relative to $n$-decidable presentations. Also, autostable $I_{\lambda,\mu}$-algebras are described.

Keywords: Boolean algebra, computable structure, prime model, autostability, computable categoricity.

UDC: 510.5+510.6+512.563

Received: 28.04.2021
Revised: 29.03.2023

DOI: 10.33048/alglog.2022.61.404



© Steklov Math. Inst. of RAS, 2024