Primitive Normality and Primitive Connectedness of a Class of Divisible Polygons


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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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A. Stepanova

School of Natural Sciences, Far Eastern Federal University; Institute of Applied Mathematics

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Email: stepltd@mail.ru
俄罗斯联邦, ul. Sukhanova 8, Vladivostok, 690091; ul. Radio 7, Vladivostok, 690041

A. Krasitskaya

School of Natural Sciences, Far Eastern Federal University

Email: stepltd@mail.ru
俄罗斯联邦, ul. Sukhanova 8, Vladivostok, 690091

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