[WayneS]

...the economy should be democratically owned and controlled...

AKA, Fascism

AKA, National Socialism

[PIF]

Hitler's economy was run on a crony capitalist system with government approval; Russia's communist economy was nominally run by the people aka democratically owned (by the State) and controlled (by the State).

They are Communists by the definition given not fascists. Nazism applies only to that period in German history when The National Socialist German Workers' Party (NAZI) ran the country.

Fascism and Nazism are not the same. One was practiced in Germany, the other in Italy under Mussolini.

"Fascism was seen as a third way between laissez-faire capitalism and communism. Fascist thought acknowledged the roles of private property and the profit motive as legitimate incentives for productivity - provided that they did not conflict with the interests of the state."
http://www.econlib.org/library/Enc1/Fascism.html