There are a LOT of airlines in Russia, but most of them are so small that they have no impact on the market.
It is very interesting that Russia is practically the only country in the world that has NOT suffered major financial problems in the airline industry since the terrorist attacks in New York and Washington.
Every year since 2001, Aeroflot especially has had tremendous financial success, whereas almost every other major airline in the world, especially in the U.S., has been failing.