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.

中文翻译：

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一类可分多边形的原始正态性和原始连通性

我们研究幺半群，其中一类可分 S 多边形是原始法线或原始连通的。证明对于任意的幺半群 S，当 S 是线性有序的幺半群时，可分多边形的类是原始法线，且当 S 是群时，它是原始连通的。