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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 5, Pages 852–862
DOI: https://doi.org/10.33048/smzh.2024.65.507 (Mi smj7896) 		 
On the 1-decidability of Boolean algebras with one distinguished ideal

M. N. Gaskova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2024.65.507
Abstract: We describe the 1-decidable Boolean algebras with one distinguished ideal in terms of the computability of some set of predicates on the algebra and show the minimality of the conditions obtained.
Keywords: Boolean algebra, computable model, decidable model, $n$-decidable model, bounded theories of Boolean algebras, ideal on Boolean algebras, $\mathrm{I}$-algebra.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0011
Received: 22.03.2024
Revised: 19.06.2024
Accepted: 20.06.2024
Document Type: Article
UDC: 510.5+510.6+512.563
MSC: 35R30
Language: Russian
Citation: M. N. Gaskova, “On the 1-decidability of Boolean algebras with one distinguished ideal”, Sibirsk. Mat. Zh., 65:5 (2024), 852–862
Citation in format AMSBIB
\Bibitem{Gas24}
\by M.~N.~Gaskova
\paper On the 1-decidability of Boolean~algebras with one distinguished ideal
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 5
\pages 852--862
\mathnet{http://mi.mathnet.ru/smj7896}
\crossref{https://doi.org/10.33048/smzh.2024.65.507}
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