# krull dimension [closed]

im looking for a non-noetherian ring with infinite krull dimension.would you help?

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Take $k[x_,x_2,...]$. –  Ralph Feb 27 '13 at 19:54
Take a look at this question: mathoverflow.net/questions/119627/… –  Neil Epstein Feb 27 '13 at 19:54
A polynomial ring $k[X_1,X_2,\ldots]$ with an infinite number of variables will do. Finding a noetherian ring with infinite Krull dimension is harder (and first accomplished by Nagata).