document: Monoids all polygons over which are omega - stable : proof of the Mustafin-Poizat conjecture A monoid S is called an omega - stabilizer -LRB- superstabilizer , or stabilizer -RRB- if every S-polygon has an omega - stable -LRB- superstable , or stable -RRB- 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
doc_bio_tags: B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O
extractive_keyphrases: monoids all polygons regular monoid
abstractive_keyphrases: omega -stabilizer s-polygon mustafin-poizat conjecture