http://en.wikipedia.org/wiki/Marxism
It was a joke (I didn't add that in. it was in the original post but in 2 point font)
I still don't get what it means.
I'll try to simplify this, but if that creates any glaring errors feel free to correct me.
Marxism is an economic theory thought up by this German guy Karl Marx. He thought that all of the world's problems were caused by class struggle - the owners vs. the workers - and he wanted to fix that.
He thought that it could be solved by the proletariat - the working class - overthrowing the bourgeoise (business owners) to bring about a classless society with no government. He also wanted to abolish private property.
The goal of Marxism is no government, but somewhere in there is the idea of rule by a dictator to transition into a classless state. Enlightened despots are extremely rare in history, so pure Marxism is idealistic.
Soviet-style communism draws from Marxism, but it does have significant differences.