Timeline for Bass' stable range of $\mathbf Z[X]$
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 17, 2016 at 12:13 | answer | added | Luc Guyot | timeline score: 10 | |
| Oct 24, 2013 at 14:11 | vote | accept | Oblomov | ||
| Jun 17, 2013 at 6:52 | history | edited | Oblomov | CC BY-SA 3.0 |
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| Jun 17, 2013 at 6:51 | comment | added | Oblomov | Yes, you are right, I'll edit my question. | |
| Jun 16, 2013 at 7:53 | comment | added | Torsten Schoeneberg | My above comment was meant to suggest a modification of the line "Examples are known ..."; I cannot edit the question myself. Or am I wrong (always quite possible)? | |
| Jun 12, 2013 at 14:21 | comment | added | Torsten Schoeneberg | I think Vaserstein proved that $sr(k[x1,…,xn])=n+1$ if $k$ is a subfield of the real numbers (theorem 8 in his 1971 paper "Stable rank of rings and dimensionality of topological spaces"). E.g. for $k$ a finite field, this is, in general, wrong, as pointed out in Steven Landsburg's comment to Jeremy Rickard's answer (cf. theorem 18.2 in the cited paper by Vaserstein/Suslin). In fact, for $k$ algebraic over a finite field, $sr(k[x1,…,xn]) \le n$ as soon as $n \ge 2$: see Vaserstein/Suslin, corollary 17.4. | |
| Jun 7, 2013 at 19:41 | answer | added | Steven Landsburg | timeline score: 10 | |
| Jun 7, 2013 at 12:41 | answer | added | Oblomov | timeline score: 1 | |
| Jun 6, 2013 at 21:19 | comment | added | Georges Elencwajg | Great question, Oblomov: +1. | |
| Jun 6, 2013 at 17:04 | answer | added | Steven Landsburg | timeline score: 7 | |
| Jun 6, 2013 at 10:24 | answer | added | Jeremy Rickard | timeline score: 13 | |
| Jun 5, 2013 at 22:37 | answer | added | Steven Landsburg | timeline score: 10 | |
| Jun 5, 2013 at 14:40 | history | edited | Oscar Randal-Williams | CC BY-SA 3.0 |
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| Jun 5, 2013 at 14:36 | history | edited | Oblomov | CC BY-SA 3.0 |
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| Jun 5, 2013 at 14:35 | comment | added | Oblomov | It's the ideal generated by these elements. Sorry, I thought this was transparent. | |
| Jun 5, 2013 at 14:24 | comment | added | Fernando Muro | What is $\langle a,a_1,\dots,a_{n+1}\rangle$? | |
| Jun 5, 2013 at 13:59 | history | asked | Oblomov | CC BY-SA 3.0 |