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

We construct a superatomic Boolean algebra with a distinguished subalgebra whose elementary theory lacks simple models.

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Publication Details

Journal
Siberian Mathematical Journal
Published
2025-05-01
DOI
https://doi.org/10.1134/s0037446625030139
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

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

D. E. Palchunov, A. V. Trofimov
Siberian Mathematical Journal
Advanced Algebra and Logic
article

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

D. E. Palchunov, A. V. Trofimov
article en

Abstract

We construct a superatomic Boolean algebra with a distinguished subalgebra whose elementary theory lacks simple models.

Siberian Mathematical JournalVol. 66(3)
Novosibirsk State University (RU), Sobolev Institute of Mathematics (RU)
Reduced inequalities
Openalex Percentile: Top 87%
Advanced Algebra and Logic
DOISourceOpenAlex
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A Superatomic Boolean Algebra with a Distinguished Subalgebra Whose Theory Lacks Simple Models — D. E. Palchunov, A. V. Trofimov · Siberian Mathematical Journal (2025) | TGRS Research Map | TGRS