Regular polygons with primitive connected theories
A. A. Stepanova · Siberian Mathematical Journal · 2014
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.