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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 $G$