padraig (u.s.)
a monkey that will go ape
I think any society that could get it's shit together enough to do away with money entirely and still feed/clothe/house/educate everyone would be the polar opposite of "anarchy".
I think perhaps you're a bit confused?
when people use the term "anarchy" they generally mean one of two things - firstly, chaos in the absence of a state, e.g. Somalia. this is how it is used in the media, popular culture etc. & how you're using it, I presume.
the second is a functional society based upon voluntary participation in the absence of a state, or some similar definition (tho it's often hard to pin down as the concept of "anarchism" is by definition opposed to sweeping ideologies). there is nothing, specifically, about abolition of $, which is a whole other can of worms - I'm not sure where you picked that up? tbh I'm quite skeptical of this as well, based IMO on an unrealistic view of human nature - that people will choose cooperation over screwing each other to get ahead - tho there is (arguably) a fair bit of evidence for it in tribal pre-agricultural peoples.
anyway unlike communists I'm not overly attached to any particular term but I do think that we should be clear about what is being meant when it's used.