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 ∈ R, where S R is the inclusion maximal regular subpolygon in the S-polygon S S.
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Original Russian Text Copyright © 2014 Stepanova A.A.
The author was supported by the Russian Foundation for Basic Research (Grant 12-01-00460-a).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, ^No. 3, pp. 666–671, May–June, 2014.
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Stepanova, A.A. Regular polygons with primitive connected theories. Sib Math J 55, 544–547 (2014). https://doi.org/10.1134/S003744661403015X
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DOI: https://doi.org/10.1134/S003744661403015X