What Is An Anarchist?

According to Wikipedia:

Anarchism as a political philosophy advocates self-governed societies based on voluntary institutions. These are often described as stateless societies, although several authors have defined them more specifically as institutions based on non-hierarchical free associations.

Also: 
Anarchy and statism are incompatible, which explains why statists must mislead people by defining anarchy as chaos and disorder. Somebody once declared that the only two political theories that are completely consistent are anarchy and totalitarianism. Anarchy fully embraces the concept of self, totalitarianism fully rejects that concept. Statism always degenerates into totalitarianism.

• Darrell Anderson, in "What Is Liberty?"

Emma Goldman, one of America's most famous and significant anarchists had this to say:

       Just as religion has fettered the human mind, and as property, or the monopoly of things, has subdued and stifled man's needs, so has the State enslaved his spirit, dictating every phase of conduct. "All government in essence," says Emerson, "is tyranny." It matters not whether it is government by divine right or majority rule. In every instance its aim is the absolute subordination of the individual.
 

In this Associated Press account of a week-end confrontation in Bezerkley, CA the writers describe the affair as being between white nationalists (right wing) and 'black-clad anarchists' (left wing). The reality is that anarchists belong to no wing and are in opposition to any form of state coercion, right or left. It's a common place for the media to describe riotous leftists as anarchists even though they advocate the use of state power to eliminate their ideological foes. Masked leftists and their media accomplices use the tag of anarchist to hide their socialist agenda. If genuine anarchists were to do such an unlikely thing as riot, their efforts would be directed against both the right and the left.