A Corporation is any organization that is legally recognized and can act as a single entity, so a co-op, commune, even an HOA that has common areas would probably be setup as a corporation even if the property relations are different than a private for-profit company.
The distinction can be seen in late 1800s Mexico where liberal reformers were trying to get rid of corporate ownership of land to promote individual ownership like in the US. What this meant was many villages who held property in common since before the aztecs were being forced to split up the common land and distribute it to each individual family, so that then the rich landlords could piece by piece buy up the land starting with the poorest families.
A Corporation is any organization that is legally recognized and can act as a single entity, so a co-op, commune, even an HOA that has common areas would probably be setup as a corporation even if the property relations are different than a private for-profit company.
The distinction can be seen in late 1800s Mexico where liberal reformers were trying to get rid of corporate ownership of land to promote individual ownership like in the US. What this meant was many villages who held property in common since before the aztecs were being forced to split up the common land and distribute it to each individual family, so that then the rich landlords could piece by piece buy up the land starting with the poorest families.