Polygons with a (P, 1)-Stable Theory


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Polygons with a (P, 1)-stable theory are considered. A criterion of being (P, 1)-stable for a polygon is established. As a consequence of the main criterion we prove that a polygon SS, where S is a group, is (P, 1)-stable if and only if S is a finite group. It is shown that the class of all polygons with monoid S is (P, 1)-stable only if S is a one-element monoid. (P, 1)-stability criteria are presented for polygons over right and left zero monoids.

Sobre autores

D. Ptakhov

School of Natural Sciences, Far Eastern Federal University

Autor responsável pela correspondência
Email: ptaxov@mail.ru
Rússia, ul. Sukhanova 8, Vladivostok, 690091

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