Timeline for Commutative associative rational binary operations
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 14, 2013 at 17:27 | comment | added | James Propp | For a follow-up question, see mathoverflow.net/questions/139331/… . | |
| Aug 13, 2013 at 17:30 | vote | accept | James Propp | ||
| Aug 13, 2013 at 12:37 | comment | added | Alexandre Eremenko | Perhaps a more complete answer can be found in the work of J. F. Ritt, but I do not remember the exact reference at this moment. BTW he also created the theory of formal groups. | |
| Aug 12, 2013 at 17:14 | comment | added | David White | A special case of this answer (which seems to cover the examples in your question) is the theory of Formal Groups. That theory has been very well developed, and in that case the function $R$ is the log function. If you google you'll find tons of survey articles. There's very little machinery needed: just power series | |
| Aug 12, 2013 at 16:19 | comment | added | James Propp | This is exactly the sort of picture I was hoping for. Is a more explicit description of such functions $R$ available? Also, which such $R$'s are homogeneous? | |
| Aug 12, 2013 at 13:27 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |