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 Nov 27 comment Why is $\mathbb{Z}/n\mathbb{Z}$ quasi-Frobenius? so, I guess you mean that we first consider a module over $R$ as a module over $\mathbb{Z}$, just as the above answer given by uncookedfalcon, then determine which is injectve. Nov 27 comment Why is $\mathbb{Z}/n\mathbb{Z}$ quasi-Frobenius? when $n$ is not prime, the ring $R=\mathbb{Z}/n\mathbb{Z}$ is not a domain. Nov 27 comment Why is $\mathbb{Z}/n\mathbb{Z}$ quasi-Frobenius? @YACP, yes, that would be easy by using the version you mentioned, so I asked the question because I do not know how to prove the above equivalence, and I google the "QF" because I heard a lecture on "Categorification of small quantum group", where the speaker mentioned the "QF" which I am not familar with. Really a long motivation, but thanks for your tip. Nov 26 asked Why is $\mathbb{Z}/n\mathbb{Z}$ quasi-Frobenius? Nov 26 comment $A/I$ is an injective $A/I$-module, where $A$ is PID Thanks, I should have thought in depth. Nov 26 accepted $A/I$ is an injective $A/I$-module, where $A$ is PID Nov 26 comment $A/I$ is an injective $A/I$-module, where $A$ is PID still have no idea how to use Baer's criterion Nov 26 comment a problem in complex analysis on entire function Thanks! nice solution. Nov 26 accepted a problem in complex analysis on entire function Nov 26 asked a problem in complex analysis on entire function Nov 25 asked $A/I$ is an injective $A/I$-module, where $A$ is PID Nov 20 answered Finitely generated projective module Nov 18 awarded Yearling Nov 18 answered Free probability background requirements Nov 18 comment one simple question in ring theory Thanks! Now I see the point, further use the minimal condition. Nov 18 accepted one simple question in ring theory Nov 18 asked one simple question in ring theory Nov 15 comment Seek results in group theory obtained by applping algebraic topology tools @user1729, thanks for the reference. Just curiosity, your usename reminds me of the story of Ramanujan and the taxi number. Nov 14 asked Seek results in group theory obtained by applping algebraic topology tools Nov 10 asked number of subgroups up to isomorphism in a group $G$