Primitive Normality and Primitive Connectedness of a Class of Divisible Polygons
- Authors: Stepanova A.A.1,2, Krasitskaya A.I.1
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Affiliations:
- School of Natural Sciences, Far Eastern Federal University
- Institute of Applied Mathematics
- Issue: Vol 58, No 5 (2019)
- Pages: 434-440
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234157
- DOI: https://doi.org/10.1007/s10469-019-09562-y
- ID: 234157
Cite item
Abstract
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.
About the authors
A. A. Stepanova
School of Natural Sciences, Far Eastern Federal University; Institute of Applied Mathematics
Author for correspondence.
Email: stepltd@mail.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690091; ul. Radio 7, Vladivostok, 690041
A. I. Krasitskaya
School of Natural Sciences, Far Eastern Federal University
Email: stepltd@mail.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690091
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