Timeline for "Coloring" the ideals of a ring
Current License: CC BY-SA 3.0
11 events
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| Jul 23, 2017 at 19:36 | comment | added | Zach Teitler | Please go ahead! :-) I'm afraid I don't have time to think through what the "right" question is. (If we're coloring nonzero elements and want the coloring to be nonconstant on the nonzero elements of ideals, then suddenly we are ignoring ideals with only one nonzero element, such as $(m) \subset \mathbb{Z}/2m\mathbb{Z}$; I'm not sure if the question is still interesting at that point... maybe?) | |
| Jul 23, 2017 at 13:21 | comment | added | Dominic van der Zypen | @ZachTeitler I think the modified version of my question that you are suggesting is very interesting. Do you want to ask it? If you don't, I can do it. | |
| Jul 23, 2017 at 7:23 | comment | added | Dominic van der Zypen | I was trying to see whether something like this was being done on rings: dominiczypen.wordpress.com/2017/07/17/… The question asked in the post was asked here but has not been answered: mathoverflow.net/questions/275489/… Your suggestion of the nonzero elements might be interesting! | |
| Jul 22, 2017 at 18:13 | comment | added | Zach Teitler | I'm curious where this definition came from. Could you sketch the motivation? Would it possibly be interesting to consider colorings of the nonzero elements of the ring? | |
| Jul 22, 2017 at 8:41 | vote | accept | Dominic van der Zypen | ||
| Jul 22, 2017 at 8:36 | answer | added | Wlod AA | timeline score: 1 | |
| Jul 22, 2017 at 7:32 | history | edited | Dominic van der Zypen | CC BY-SA 3.0 |
deleted 142 characters in body
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| Jul 22, 2017 at 7:31 | comment | added | Dominic van der Zypen | Right sorry will remove the example! | |
| Jul 22, 2017 at 7:16 | comment | added | Zach Teitler | Isn't $c_{(2)}$ constant? How about the $2$-coloring of $\mathbb{Z}$ given by $c(n) = 0$ if $n$ is a square, $1$ otherwise. | |
| Jul 22, 2017 at 7:15 | comment | added | abx | Your example doesn't work, the function $c$ is constant on $2\Bbb{Z}$. | |
| Jul 22, 2017 at 7:11 | history | asked | Dominic van der Zypen | CC BY-SA 3.0 |