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Algebra i logika, 2021, Volume 60, Number 1, Pages 23–38
DOI: https://doi.org/10.33048/alglog.2021.60.102 (Mi al2647) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Piecewise monotonicity for unary functions in $o$-stable groups

V. V. Verbovskiyab, A. B. Dauletiyarovacd

a Kazakh National Technical University after K. I. Satpaev
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
c Kazakh-British Technical University
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (239 kB) Citations (4)
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DOI: https://doi.org/10.33048/alglog.2021.60.102
Abstract: Unary functions definable in $o$-stable ordered groups of nonvaluational type are studied. Such functions are proved to be piecewise monotone and continuous.
Keywords: $o$-stable groups, unary functions.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP09259295
V. V. Verbovskiy and A. B. Dauletiyarova are supported by SC MES RK, grant No. AP09259295.
Received: 21.03.2020
Revised: 31.05.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 1, Pages 15–25
DOI: https://doi.org/10.1007/s10469-021-09624-0
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: V. V. Verbovskiy, A. B. Dauletiyarova, “Piecewise monotonicity for unary functions in $o$-stable groups”, Algebra Logika, 60:1 (2021), 23–38; Algebra and Logic, 60:1 (2021), 15–25
Citation in format AMSBIB
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\paper Piecewise monotonicity for unary functions in $o$-stable groups
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\issue 1
\pages 23--38
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\transl
\jour Algebra and Logic
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\issue 1
\pages 15--25
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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