Can we use equivalently "A is associated with B" and "B is associated with A"??
closed as unclear what you're asking by J. Taylor, JJJ, TrevorD, Davo, TaliesinMerlin Mar 26 at 17:43
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
In layman's terms (not invoking formal/academic logic in the answer)... an English speaker might assume that one implies the other, especially if there's no need for clarification on what 'associated' entails.
However grammar typically (but not always) places the subject towards the beginning of the sentence, and the object towards the end. The object in a sentence being the entity that is acted upon by the subject.
"James fed the dogs" leaves the dogs as the object being acted upon but James as the subject.
Where "associated" calls for more clarification, it can be too vague a term, and the inverse is NOT identical:
This garbage collection company is associated with the mafia
The mafia is associated with this garbage collection company
1 implies you are concerned with this garbage collection company in particular - maybe the existence of the mafia is a given, but you wish to discuss the garbage collection company.
2 implies you wish to discuss the mafia in particular - our discussion will revolve around the mafia and their attributes more than the company itself.
These are not hard rules but whichever one you begin with would be the one I assume you think is the subject of discussion.