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manuscripta mathematica

, Volume 59, Issue 4, pp 391–397 | Cite as

Galois extensions as functors of comodules

  • K. -H. Ulbrich
Article

Abstract

Let A be a finite Hopf algebra over a commutative ring k. We show a one-to-one correspondence between the A-Galois extensions of k and certain functors from the category of A-comodules to the category of k-modules.

Keywords

Number Theory Algebraic Geometry Hopf Algebra Topological Group Commutative Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Takeuchi M.: Morita theorems for categories of comodules. J. Fac. Sci. Univ. Tokyo, Sec. IA,24, 629–644 (1977)Google Scholar
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    Ulbrich, K.-H.: Galoiserweiterungen von nicht-kommutativen Ringen. Commun. Algebra10, 655–672 (1982)Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • K. -H. Ulbrich
    • 1
  1. 1.Univ. HamburgMathematisches SeminarHamburg 13Fed. Rep. Germany

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