>>6832164Socialism is the umbrella term, which incorporates anarcho-communism, and communism (which on it's on, is a umbrella term for different communist tendencies such as Left-communism [rejection of the vanguard, anti-lenin], council communism, DeLeonism, etc..]).
But for your argument sake, I think you're reffering to Marxism-Leninism.
As for anarcho-communism, in layman terms, it's the adherence to a transitional state towards communism rather than going through the immediate process of normal anarchism (going straight from a revolution to a communist society). But, yes, they are anti-authoritarian that has certain Marxist thought, albeit not explicitly