"Without Rulers" as a way of life.
The etymological origin of anarchism is from the Ancient Greek anarkhia, meaning "without a ruler", composed of the prefix an- (i.e. "without") and the word arkhos (i.e. "leader" or "ruler").
There are people out there that have invented more flavors and hyphenations of this simple concept than there are flavors of ice cream. All of these flavors fall into one of two categories:
These embody the idea of a "flavor"... A little something someone added to the recipie to attempt to modify the fundamental concept being discussed without really changing it.
These are mostly the older historical versions of Anarchy. These often violent and disgusting groups of people (ANTIFA) coupled with government (ruler) propaganda is why the term is seen negatively by the average person.
The inconsistency in these ideologies is generally rooted in a disrespect for specific and arbitrary types of property that they deam to be rightfully unownable by the individual. They attempt to make subjective distinctions between what you can and cant own (personal vs private property) and hold that force is justified to "expropriate" (steal) property you are owning against their collective opinion. In so doing they create a coercive, non-consensual, and violent ruler out of the collective; leaving anarchism (no rulers) behind them in the dust.
For more reading on this area see Anarcho-Capitalism is the ONLY Anarchism