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seen Apr 18 at 9:18

Oct
24
comment Bass' stable range of $\mathbf Z[X]$
The answer is given in a paper of Grunewald, Mennicke and Vaserstein (On the groups $SL_2(\mathbf Z[x])$ and $SL_2(k[x,y])$). Israel J. Math. 86 (1994), no. 1-3, 157–193). One example of unimodular row that is not reducible is the following $(21+ 4x, 12, x^2 + 20)$.
Oct
24
accepted Bass' stable range of $\mathbf Z[X]$
Oct
8
awarded  Constituent
Oct
8
awarded  Caucus
Jul
23
comment An analogue of the Bass-Quillen conjecture with power or Laurent series
Indeed, sorry for my previous comment.
Jul
23
comment An analogue of the Bass-Quillen conjecture with power or Laurent series
You may want to have a look at Lam's book titled "Serre's problem on projective modules", Section V.4 and V.5.
Jul
17
answered (Preferably rare) Audio/Video recordings of famous mathematicians?
Jun
17
revised Bass' stable range of $\mathbf Z[X]$
added 23 characters in body
Jun
17
comment Bass' stable range of $\mathbf Z[X]$
Yes, you are right, I'll edit my question.
Jun
7
comment Bass' stable range of $\mathbf Z[X]$
Sorry, I was not able to find how to type matrices correctly
Jun
7
answered Bass' stable range of $\mathbf Z[X]$
Jun
6
comment Bass' stable range of $\mathbf Z[X]$
Is $\mathbf Z[x_1, \dots, x_n]$ really of stable range $n+1$ (and not $n+2$)?
Jun
6
awarded  Nice Question
Jun
6
comment Bass' stable range of $\mathbf Z[X]$
I found Example 12.1.14 in Chen's book (it's on page 373). It states that a Dedekind domain is of stable range $2$. The typo you found seems to be rather a mistake.
Jun
6
comment Bass' stable range of $\mathbf Z[X]$
Thanks for the reference (although I don't understand the argument too). I'll try to write to the author.
Jun
5
revised Bass' stable range of $\mathbf Z[X]$
added 86 characters in body
Jun
5
comment Bass' stable range of $\mathbf Z[X]$
It's the ideal generated by these elements. Sorry, I thought this was transparent.
Jun
5
asked Bass' stable range of $\mathbf Z[X]$
Apr
29
comment Grothendieck 's question - any update?
For another solution to the (refined) question , you can have a look at: François Charles, Conjugate varieties with distinct real cohomology algebras J. Reine Angew. Math. 630 (2009), pp. 125--139.
Apr
19
awarded  Teacher