Check out https://theanarchistlibrary.org if you’re really interested.

Anarchism is predicated largely on the restructuring of hierarchies and rejecting unjust hierarchies and structures of power. This includes things like private property (aka property for the purpose of profit, as opposed to personal property). It’s not to dissimilar to communism in a lot of ways.

Unless you’re talking about AnCaps in which case yeah they basically want to be beholden to a mafia of sorts.