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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 666–671 (Mi smj2561)  
Regular polygons with primitive connected theories

A. A. Stepanovaab

a Far Eastern Federal University, Vladivostok, Russia
b Institute of Applied Mathematics, Vladivostok, Russia
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Abstract: We study the monoids $S$ over which the class of all regular $S$-polygons is axiomatizable and primitive connected. We prove that the axiomatizable class of all regular $S$-polygons is primitive connected if and only if the semigroup $R$ is a rectangular band of groups and $R=eR$ for some idempotent $e\in R$, where $_SR$ is the inclusion maximal regular subpolygon in the $S$-polygon $_SS$.
Keywords: primitive normal theory, primitive connected theory, polygon, regular polygon.
Received: 24.04.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 3, Pages 544–547
DOI: https://doi.org/10.1134/S003744661403015X
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.56
Language: Russian
Citation: A. A. Stepanova, “Regular polygons with primitive connected theories”, Sibirsk. Mat. Zh., 55:3 (2014), 666–671; Siberian Math. J., 55:3 (2014), 544–547
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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