Timeline for Comparing homomorphisms over different base rings
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 24, 2010 at 18:20 | vote | accept | TonyS | ||
| Oct 24, 2010 at 17:56 | comment | added | Angelo | I am pretty sure that being torsion-free is not required; but you are right, finiteness probably is needed in the argument. | |
| Oct 24, 2010 at 17:18 | comment | added | TonyS | This looks good. But then it seems to me, that this is in fact true for all $R$-modules $M$ and $N$. Or do we need the finiteness assumptions? Because i think, if $A\rightarrow B$ is the splitting extension, then $Hom_R(M,N)\otimes_A B \cong Hom_{R\otimes_A B}(M\otimes_A B,N\otimes_A B)$ isn't true for all $R$-modules. | |
| Oct 24, 2010 at 16:07 | history | answered | Angelo | CC BY-SA 2.5 |