Timeline for a generalization of group (monoid with order-by-order invertible elements)
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 28, 2018 at 13:35 | comment | added | Dmitry Kerner | Such structures appear naturally in Singularity Theory, Local Geometry, Comm.Alg. over local rings. (In some cases Nakayama turns them into ordinary groups.) I would expect these to be well known, axiomatized, text-booked. :( | |
| Feb 27, 2018 at 17:50 | comment | added | Neil Epstein | I don't know. But I guess you could restate the condition to say that you have a filtered monoid such that $H_j / H_{j+1}$ is a group for all $j$. Interesting condition. Definitely a new one to me. | |
| Feb 25, 2018 at 19:36 | comment | added | Dmitry Kerner | @neil-epstein : right | |
| Feb 25, 2018 at 15:17 | comment | added | Neil Epstein | To clarify: In Example 1, you want $H_n = 1 + (x^n)$, right? | |
| Feb 25, 2018 at 7:56 | history | asked | Dmitry Kerner | CC BY-SA 3.0 |