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Berkson’s theorem

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Abstract

We give a new proof of the theorem that Amitsur’s complex for purely inseparable field extensions has vanishing homology in dimensions higher than 2. This is accomplished by computing the kernel and cokernel of the logarithmic derivativet →Dt/t mapping the multiplicative Amitsur complex to the acyclic additive one (D is a derivation of the extension field).

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References

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Authors and Affiliations

  1. Northwestern University, Evanston, Illinois, U.S.A.

    Daniel Zelinsky

Authors
  1. Daniel Zelinsky
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Additional information

This research was supported by National Science Foundation grant NSF GP 1649.

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Zelinsky, D. Berkson’s theorem. Israel J. Math. 2, 205–209 (1964). https://doi.org/10.1007/BF02759946

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  • DOI: https://doi.org/10.1007/BF02759946

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