The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models

The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2020, Volume: 61, Number: 3, Pages: 516-527 Pages count : 12 DOI: 10.1134/S0037446620030131

Tags

Boolean algebra; Boolean algebra with distinguished subalgebra; elementary equivalence; elementary theory; finitely axiomatizable theory; local algebra; solvable theory

Authors

Palchunov D.E. ^1,2 , Trofimov A.V. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Novosibirsk State University, Novosibirsk, Russian Federation

Studying Boolean algebras with distinguished subalgebras, we establish the existence of continuum many simple superatomic Boolean algebras with distinguished subalgebra whose elementary theories are distinct and each of them lacks countably saturated models. The subalgebras coincide with the Boolean algebras modulo their Fréchet ideals. © 2020, Pleiades Publishing, Ltd.

Palchunov D.E. , Trofimov A.V.
The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models
Siberian Mathematical Journal. 2020. V.61. N3. P.516-527. DOI: 10.1134/S0037446620030131 WOS Scopus OpenAlex

Web of science:	WOS:000540148300013
Scopus:	2-s2.0-85086322826
OpenAlex:	W3035247225

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