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The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models. / Palchunov, D. E.; Trofimov, A. V.

In: Siberian Mathematical Journal, Vol. 61, No. 3, 01.05.2020, p. 516-527.

Research output: Contribution to journal › Article › peer-review

Harvard

Palchunov, DE & Trofimov, AV 2020, 'The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models', Siberian Mathematical Journal, vol. 61, no. 3, pp. 516-527. https://doi.org/10.1134/S0037446620030131

APA

Palchunov, D. E., & Trofimov, A. V. (2020). The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models. Siberian Mathematical Journal, 61(3), 516-527. https://doi.org/10.1134/S0037446620030131

Vancouver

Palchunov DE, Trofimov AV. The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models. Siberian Mathematical Journal. 2020 May 1;61(3):516-527. doi: 10.1134/S0037446620030131

Author

Palchunov, D. E. ; Trofimov, A. V. / The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models. In: Siberian Mathematical Journal. 2020 ; Vol. 61, No. 3. pp. 516-527.

BibTeX

@article{72d3ac09bef54424a1de382a624b049e,
title = "The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models",
abstract = "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 Fr{\'e}chet ideals.",
keywords = "Boolean algebra, Boolean algebra with distinguished subalgebra, elementary equivalence, elementary theory, finitely axiomatizable theory, local algebra, solvable theory",
author = "Palchunov, {D. E.} and Trofimov, {A. V.}",
year = "2020",
month = may,
day = "1",
doi = "10.1134/S0037446620030131",
language = "English",
volume = "61",
pages = "516--527",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "3",

}

RIS

TY - JOUR

T1 - The Theories of Superatomic Boolean Algebras with Distinguished Subalgebra Which Lack Countably Saturated Models

AU - Palchunov, D. E.

AU - Trofimov, A. V.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - 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.

AB - 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.

KW - Boolean algebra

KW - Boolean algebra with distinguished subalgebra

KW - elementary equivalence

KW - elementary theory

KW - finitely axiomatizable theory

KW - local algebra

KW - solvable theory

UR - http://www.scopus.com/inward/record.url?scp=85086322826&partnerID=8YFLogxK

U2 - 10.1134/S0037446620030131

DO - 10.1134/S0037446620030131

M3 - Article

AN - SCOPUS:85086322826

VL - 61

SP - 516

EP - 527

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 24520154