FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2004, VOLUME 10, NUMBER 4, PAGES 107-157
A. V. Mikhalev
E. V. Ovchinnikova
A. A. Palyutin
A. A. Stepanova
Abstract
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This work is devoted to results obtained in the model theory of
regular polygons.
We give a characterization of monoids with axiomatizable and
model-complete class of regular polygons.
We describe the monoids with complete class of regular polygons that
satisfy some additional conditions.
We study the monoids whose regular core is represented as a union
of finitely many principal right ideals and all regular polygons over
which have a stable and superstable theory.
We prove the stability of the class of all regular polygons over
a monoid provided this class is axiomatizable and model-complete.
We also describe the monoids for which the class of all regular
polygons is superstable and
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