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May 5, 2015 at 12:08 vote accept Amit H
May 5, 2015 at 11:04 answer added Jason Starr timeline score: 9
May 5, 2015 at 9:35 comment added Jason Starr What about $k[x_0,x_1,x_2,x_3,\dots,x_n,\dots]/\langle x_0x_1-1,x_2^2-x_1,x_3^3-x_2,\dots,x_{n+1}^{n+1}-x_n,\dots \rangle$? This ring is the union of the subrings $R_n$ generated by $x_0,\dots,x_n$, i.e., $R\cong k[x_n,x_n^{-1}]$. Each transition map is etale. Yet the union is not Noetherian.
May 5, 2015 at 8:52 history asked Amit H CC BY-SA 3.0