This article is cited in 1 paper

Monoids with Stable Theories for Regular Polygons

A. A. Stepanova


Abstract: Conditions are specified which will be sufficient to impose on a monoid for all polygons over that monoid to have a stable (superstable, $\omega$-stable) theory. A complete description of commutative monoids all polygons over which have an $\omega$-stable theory is given.

Keywords: commutative monoid, regular polygon, stable theory.

UDC: 510.67:512.56

Received: 15.12.1999
Revised: 07.06.2000

 English version: Algebra and Logic, 2001, 40:4, 239–254

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