Timeline for Link between abelian groups and endomorphisms
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 5, 2014 at 18:34 | comment | added | Qiaochu Yuan | The structure theorem goes at least as far back as a 1912 paper of Steinitz in which he proves the structure theorem for f.g. modules over a Dedekind domain. Unfortunately the paper appears to be in German. | |
| Dec 5, 2014 at 14:14 | comment | added | KConrad | Perhaps Bourbaki. | |
| Dec 5, 2014 at 14:10 | comment | added | Geoff Robinson | OK, that is surprising to me- then one has to think of another "classic" text. Herstein's "Topics in Algebra" certainly covers the material, but there must be earlier sources, | |
| Dec 5, 2014 at 14:05 | comment | added | Denis Serre | @Geoff. I checked Van der Waerden's book. It does not treat modules. | |
| Dec 5, 2014 at 14:04 | comment | added | Denis Serre | @Andreas. Oups! I did not write that way on purpose :) | |
| Dec 5, 2014 at 13:59 | comment | added | Andreas Blass | I'm not going to fix the typo "principal idea domain" because I sort of like it as it is. | |
| Dec 5, 2014 at 11:20 | comment | added | Geoff Robinson | Maybe a clue could be uncovered in a classic algebra text ( such as Van der Waerden's "Modern Algebra")? Priority is often tricky, but I imagine that whoever first proved the structure of fg modules over a PID in something like its modern form would see those two consequences fairly quickly. | |
| Dec 5, 2014 at 11:09 | history | asked | Denis Serre | CC BY-SA 3.0 |