The first sentence is wrong.
Communism (from Latin communis, 'common, universal') is a left-wing to far-left sociopolitical, philosophical, and economic ideology within the socialist movement, whose goal is the creation of a communist society, a socioeconomic order centered around common ownership of the means of production, distribution, and exchange that allocates products to everyone in the society based on need.
Anarchy is a society without rulers.
- https://en.wikipedia.org/wiki/Anarchy?wprov=sfla1 Comunism having the rule of common ownership of the means of production is in contrast to the definition of anarchy.
It is unclear what you mean with your second sentence.
How did you set your firefox up like this?