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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 изданиях › статья › Рецензирование
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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