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A Superatomic Boolean Algebra with a Distinguished Subalgebra Whose Theory Lacks Simple Models. / Palchunov, D. E.; Trofimov, A. V.

в: Siberian Mathematical Journal, Том 66, № 3, 02.06.2025, стр. 749-762.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Palchunov DE, Trofimov AV. A Superatomic Boolean Algebra with a Distinguished Subalgebra Whose Theory Lacks Simple Models. Siberian Mathematical Journal. 2025 июнь 2;66(3):749-762. doi: 10.1134/S0037446625030139

Author

Palchunov, D. E. ; Trofimov, A. V. / A Superatomic Boolean Algebra with a Distinguished Subalgebra Whose Theory Lacks Simple Models. в: Siberian Mathematical Journal. 2025 ; Том 66, № 3. стр. 749-762.

BibTeX

@article{68de21b42abd4c01bea47b61d2cd80dd,
title = "A Superatomic Boolean Algebra with a Distinguished Subalgebra Whose Theory Lacks Simple Models",
abstract = "We construct a superatomic Boolean algebra with a distinguished subalgebrawhose elementary theory lacks simple models.",
keywords = "512.563, Boolean algebra, Boolean algebra with a distinguished subalgebra, elementary equivalence, elementary theory, finitely axiomatizable theory, local algebra, solvable theory",
author = "Palchunov, {D. E.} and Trofimov, {A. V.}",
note = "The work of Palchunov was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0011). ",
year = "2025",
month = jun,
day = "2",
doi = "10.1134/S0037446625030139",
language = "English",
volume = "66",
pages = "749--762",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - A Superatomic Boolean Algebra with a Distinguished Subalgebra Whose Theory Lacks Simple Models

AU - Palchunov, D. E.

AU - Trofimov, A. V.

N1 - The work of Palchunov was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0011).

PY - 2025/6/2

Y1 - 2025/6/2

N2 - We construct a superatomic Boolean algebra with a distinguished subalgebrawhose elementary theory lacks simple models.

AB - We construct a superatomic Boolean algebra with a distinguished subalgebrawhose elementary theory lacks simple models.

KW - 512.563

KW - Boolean algebra

KW - Boolean algebra with a distinguished subalgebra

KW - elementary equivalence

KW - elementary theory

KW - finitely axiomatizable theory

KW - local algebra

KW - solvable theory

UR - https://www.mendeley.com/catalogue/f3584e95-58fe-3027-a0f8-04e9f9c9493b/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105007069294&origin=inward&txGid=2c3a2a81f2f602625bce928199941a77

U2 - 10.1134/S0037446625030139

DO - 10.1134/S0037446625030139

M3 - Article

VL - 66

SP - 749

EP - 762

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 67648475