This article is cited in 1 paper

Monoids All Polygons Over Which Are $\omega$-Stable: Proof of the Mustafin – Poizat Conjecture

A. A. Stepanova


Abstract: A monoid $S$ is called an $\omega$-stabilizer (superstabilizer, or stabilizer) if every $S$-polygon has an $\omega$-stable (superstable, or stable) theory. It is proved that every $\omega$-stabilizer is a regular monoid. This confirms the Mustafin – Poizat conjecture and allows us to end up the description of $\omega$-stabilizers.

Keywords: monoid, regular monoid, $\omega$-stabilizer, $\omega$-stable theory.

UDC: 510.67:512.56

Received: 29.10.2001

 English version: Algebra and Logic, 2002, 41:2, 124–126

Bibliographic databases:

• 
• 
•