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An elementary proof for the Krull dimension of a polynomial ring

Published 16 Dec 2016 in math.AC | (1612.05670v3)

Abstract: This is an expository paper in which it is proved that, for every infinite field ${\mathbf{F}}$, the polynomial ring ${\mathbf{F}}[t_1,\ldots, t_n]$ has Krull dimension $n$. The proof uses only "high school algebra" and the rudiments of undergraduate "abstract algebra."

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Authors (1)

  1. Melvyn B. Nathanson 

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