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A superatomic boolean algebra with a distinguished subalgebra whose theory lacks simple models Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2025, Volume: 66, Number: 3, Pages: 749-762 Pages count : 14 DOI: 10.1134/S0037446625030139
Tags boolean algebra, boolean algebra with a distinguished subalgebra, local algebra, elementary theory, finitely axiomatizable theory, solvable theory, elementary equivalence
Authors Palchunov D.E. 1 , Trofimov A.V. 2
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia
2 Novosibirsk State University, Novosibirsk, Russia

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0011

Abstract: We construct a superatomic Boolean algebra with a distinguished subalgebra whose elementary theory lacks simple models.
Cite: Palchunov D.E. , Trofimov A.V.
A superatomic boolean algebra with a distinguished subalgebra whose theory lacks simple models
Siberian Mathematical Journal. 2025. V.66. N3. P.749-762. DOI: 10.1134/S0037446625030139 WOS Scopus РИНЦ OpenAlex
Original: Пальчунов Д.Е. , Трофимов А.В.
Суператомная булева алгебра с выделенной подалгеброй, теория которой не имеет простой модели
Сибирский математический журнал. 2025. Т.66. №3. С.506-522. DOI: 10.33048/smzh.2025.66.313
Dates:
Submitted: Sep 12, 2023
Accepted: Apr 25, 2025
Published print: Jun 2, 2025
Published online: Jun 2, 2025
Identifiers:
Web of science: WOS:001500903100015
Scopus: 2-s2.0-105007069294
Elibrary: 82395839
OpenAlex: W4410947249
Citing: Пока нет цитирований
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