You're right, I don't have much knowledge of anarchism's philosophical framework, but I do know that the definition of the word means that there is no authority.
In an anarchist society, what's to stop me from accumulating wealth?
Furthermore, what would stop me from entering into voluntary contracts with others who agree to do labour in exchange for money?
Ultimately I think that without some authority (almost certainly a state) enforcing communism, the relationships we currently experience under capitalism will naturally reoccur. And (if my limited understanding of anarchy is correct, which I admit it might not be), under anarchism there can be no such authority preventing capitalism from happening.
Communism always needs to be enforced, it doesn't happen naturally. Capitalism does. That's why I don't think communism can exist along with anarchy.
Thanks for the detailed reply. I hadn't considered the difference between money and currency before. Maybe I still don't fully understand it because I still think there would be an advantage to hoarding currency in any system where others are prepared to exchange goods or labour for that currency.
Trade would surely still occur, and it would be possible to profit from said trade. That profit would enable the trader to live a more luxurious life than those who make less or no profit, because he would be able to acquire more goods and have more work done for him by spending the profit. Consumerism would happen.
Even in a post-scarciry world I think we'd still have Ferengi.
I appreciate the reading recommendations. These are some fascinating ideas to understand for sure.