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Algebra i logika, 2017, Volume 56, Number 4, Pages 486–505
DOI: https://doi.org/10.17377/alglog.2017.56.407 (Mi al810) 		 
This article is cited in 3 scientific papers (total in 3 papers)

$P$-stable polygons

A. A. Stepanovaab, D. O. Ptakhova

a School of Natural Sciences, Far Eastern Federal University, ul. Sukhanova 8, Vladivostok, 690091 Russia
b Institute of Applied Mathematics, ul. Radio 7, Vladivostok, 690041 Russia
Full-text PDF (218 kB) Citations (3)
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DOI: https://doi.org/10.17377/alglog.2017.56.407
Abstract: $P$-stable polygons are studied. It is proved that the property of being $(P,s)$-, $(P,a)$-, and $(P,e)$-stable for the class of all polygons over a monoid $S$ is equivalent to $S$ being a group. We describe the structure of $(P,s)$-, $(P,a)$-, and $(P,e)$-stable polygons $SA$ over a countable left-zero monoid $S$ under the condition that the set $A\setminus SA$ is indiscernible over a right-zero monoid.
Keywords: $P$-stable theories, polygons, $P$-stable polygons.
Received: 14.12.2015
English version:
Algebra and Logic, 2017, Volume 56, Issue 4, Pages 324–336
DOI: https://doi.org/10.1007/s10469-017-9453-6
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.56
Language: Russian
Citation: A. A. Stepanova, D. O. Ptakhov, “$P$-stable polygons”, Algebra Logika, 56:4 (2017), 486–505; Algebra and Logic, 56:4 (2017), 324–336
Citation in format AMSBIB
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\by A.~A.~Stepanova, D.~O.~Ptakhov
\paper $P$-stable polygons
\jour Algebra Logika
\yr 2017
\vol 56
\issue 4
\pages 486--505
\mathnet{http://mi.mathnet.ru/al810}
\crossref{https://doi.org/10.17377/alglog.2017.56.407}
\transl
\jour Algebra and Logic
\yr 2017
\vol 56
\issue 4
\pages 324--336
\crossref{https://doi.org/10.1007/s10469-017-9453-6}
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    • This publication is cited in the following 3 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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