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.
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Supported by RFBR, project No. 17-01-00531. (A. A. Stepanova)
Translated from Algebra i Logika, Vol. 58, No. 5, pp. 650-658, September-October, 2019.
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Stepanova, A.A., Krasitskaya, A.I. Primitive Normality and Primitive Connectedness of a Class of Divisible Polygons. Algebra Logic 58, 434–440 (2019). https://doi.org/10.1007/s10469-019-09562-y
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DOI: https://doi.org/10.1007/s10469-019-09562-y