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Algebra i logika, 2019, Volume 58, Number 5, Pages 650–658
DOI: https://doi.org/10.33048/alglog.2019.58.505 (Mi al920) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Primitive normality and primitive connectedness of a class of divisible polygons

A. A. Stepanovaab, A. I. Krasitskayaa

a School of Natural Sciences, Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.33048/alglog.2019.58.505
Abstract: We study monoids over which a class of divisible $S$-polygons is primitive normal or primitive connected. It is shown that for an arbitrary monoid $S$, the class of divisible polygons is primitive normal iff $S$ is a linearly ordered monoid, and that it is primitive connected iff $S$ is a group.
Keywords: theory, primitive normal theory, primitive connected theory, polygon, divisible polygon.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00531_а
Supported by RFBR, project No. 17-01-00531. (A. A. Stepanova)
Received: 02.04.2018
Revised: 26.11.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 5, Pages 434–440
DOI: https://doi.org/10.1007/s10469-019-09562-y
Bibliographic databases:
Document Type: Article
UDC: 510.67:512.56
Language: Russian
Citation: A. A. Stepanova, A. I. Krasitskaya, “Primitive normality and primitive connectedness of a class of divisible polygons”, Algebra Logika, 58:5 (2019), 650–658; Algebra and Logic, 58:5 (2019), 434–440
Citation in format AMSBIB
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\by A.~A.~Stepanova, A.~I.~Krasitskaya
\paper Primitive normality and primitive connectedness of a class of
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\jour Algebra Logika
\yr 2019
\vol 58
\issue 5
\pages 650--658
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\crossref{https://doi.org/10.33048/alglog.2019.58.505}
\transl
\jour Algebra and Logic
\yr 2019
\vol 58
\issue 5
\pages 434--440
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:23
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