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Jan 31, 2014 at 12:34 history edited Jeremy Rickard CC BY-SA 3.0
Corrected description of the map: there isn't a map $\operatorname{Hom}_A(P,A)\otimes_AP\to A$.
Jan 31, 2014 at 11:14 comment added user1688 Great answer, thanks! I actually remember having heard the name Hattori-Stallings before, but somehow I didn't follow it up.
Jan 31, 2014 at 11:00 vote accept CommunityBot
Jan 31, 2014 at 10:58 history answered Jeremy Rickard CC BY-SA 3.0