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Algebra i logika, 2018, Volume 57, Number 6, Pages 662–683
DOI: https://doi.org/10.33048/alglog.2018.57.603 (Mi al873) 		 
This article is cited in 14 scientific papers (total in 15 papers)

Algebras of Distributions of Binary Isolating Formulas for Quite $o$-Minimal Theories

D. Yu. Emel'yanovab, B. Sh. Kulpeshovacd, S. V. Sudoplatovbea

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
b Novosibirsk State Technical University
c Kazakh-British Technical University
d International Information Technology University
e Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (290 kB) Citations (15)
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DOI: https://doi.org/10.33048/alglog.2018.57.603
Abstract: Algebras of distributions of binary isolating formulas over a type for quite $o$-minimal theories with nonmaximal number of countable models are described. It is proved that an isomorphism of these algebras for two $1$-types is characterized by the coincidence of convexity ranks and also by simultaneous satisfaction of isolation, quasirationality, or irrationality of those types. It is shown that for quite $o$-minimal theories with nonmaximum many countable models, every algebra of distributions of binary isolating formulas over a pair of nonweakly orthogonal types is a generalized commutative monoid.
Keywords: quite o-minimal theory, countable model, convexity rank, algebras of distributions of binary isolating formulas, generalized commutative monoid.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00531_а
Ministry of Education and Science of the Republic of Kazakhstan АР05132546
Siberian Branch of Russian Academy of Sciences 1.1.1, проект № 0314-2019-0002
Received: 05.04.2017
Revised: 16.01.2018
English version:
Algebra and Logic, 2019, Volume 57, Issue 6, Pages 429–444
DOI: https://doi.org/10.1007/s10469-019-09515-5
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: D. Yu. Emel'yanov, B. Sh. Kulpeshov, S. V. Sudoplatov, “Algebras of Distributions of Binary Isolating Formulas for Quite $o$-Minimal Theories”, Algebra Logika, 57:6 (2018), 662–683; Algebra and Logic, 57:6 (2019), 429–444
Citation in format AMSBIB
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\pages 662--683
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