Timeline for Lifting a direct summand of a free module
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 20, 2014 at 15:50 | vote | accept | Harry | ||
| Oct 15, 2014 at 10:17 | vote | accept | Harry | ||
| Oct 17, 2014 at 11:44 | |||||
| Oct 14, 2014 at 17:42 | comment | added | Steven Landsburg | Multiplication by $1+i$ becomes a split injection mod $I$. | |
| Oct 14, 2014 at 16:53 | comment | added | Harry | Thanks for your answer, but sorry I don't understand. I have the assumption that $R/I$ split injects into $S_I$ and the quotient maps respect all splittings. Hence the lift $R$ of can only embed as described above, and in particular not solely into $T$. So $\nu$ is not arbitrary...in fact I think I can show that $\nu$ is injective. So the question would reduce to whether or not it is split. | |
| Oct 14, 2014 at 13:53 | history | answered | Steven Landsburg | CC BY-SA 3.0 |