Timeline for Polynomial ring operations on $\mathbb{Z}$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 10, 2016 at 11:45 | vote | accept | Martin | ||
| Aug 3, 2016 at 18:17 | comment | added | user44191 | As a note: the map would have to be $\mathbb{Z} \rightarrow L(K + \mathbb{Z})$. Otherwise, addition doesn't work. Completely unrelatedly, I've been playing around with trying to generalize this proof for more rings, including the reals. Mostly, it comes down to proving the same statement for addition, and then the same proof works for multiplication. However, I don't see a nice way to generally prove the same statement for addition. | |
| Jul 27, 2016 at 6:30 | comment | added | David Roberts♦ | That's a nice point about the ring structure being transported across a bijection $\mathbb{Z} \to K+L\mathbb{Z}$ (assuming the more general case Steven gave, with $K\not=0$). | |
| Jul 27, 2016 at 2:33 | history | answered | user44191 | CC BY-SA 3.0 |