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Timeline for Dual of a projective module

Current License: CC BY-SA 4.0

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Feb 20, 2020 at 23:07 vote accept Fofi Konstantopoulou
Feb 20, 2020 at 23:07 comment added Fofi Konstantopoulou I think that clears it up - thanks!
Feb 20, 2020 at 22:58 comment added Leonid Positselski I've added a paragraph at the end of the answer which is relevant to your question in the comment. Yes, this is the difference between the left and right duals.
Feb 20, 2020 at 22:56 history edited Leonid Positselski CC BY-SA 4.0
a paragraph added at the end
Feb 20, 2020 at 22:52 comment added Fofi Konstantopoulou Thanks for the answer. But it seems that $Q \otimes_R P$ is well defined as a $\mathbb{Z}$-module. So is the issue here that $Q = \,_R\mathrm{Hom}$ is really a "right dual" for $P$ and not a "left dual"? (Here I mean right and left dual in rough analogy with the monoidal category sense.)
Feb 20, 2020 at 22:38 history answered Leonid Positselski CC BY-SA 4.0