Email this article P-Stable Polygons
- Authors: Stepanova A.A.1,2, Ptakhov D.O.1
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Affiliations:
- School of Natural Sciences, Far Eastern Federal University
- Institute of Applied Mathematics
- Issue: Vol 56, No 4 (2017)
- Pages: 324-336
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234048
- DOI: https://doi.org/10.1007/s10469-017-9453-6
- ID: 234048
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Abstract
P-stable polygons are studied. It is proved that the property of being (P, s)-, (P, a)-, and (P, e)-stable for the class of all polygons over a monoid S is equivalent to S being a group. We describe the structure of (P, s)-, (P, a)-, and (P, e)-stable polygons SA over a countable left zero monoid S and, under the condition that the set A \ SA is indiscernible, over a right zero monoid.
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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
D. O. Ptakhov
School of Natural Sciences, Far Eastern Federal University
Email: stepltd@mail.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690091
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