I used to believe that a continuous algebra homomorphism from k[[x_1, ... x_m]] $k[[x_1,\dots, x_m]]$ to k[[y_1, ... y_n]], $k[[y_1,\dots,y_n]]$, with $m > nn$, could not be injective. Konstantin Ardakov set me straight on this.
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I used to believe that a continuous algebra homomorphism from k[[x_1, ... x_m]] to k[[y_1, ... y_n]], with m > n, could not be injective. Konstantin Ardakov set me straight on this. |
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