Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory

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This text studies Hopf algebras over valuation rings of local fields and their application to the theory of wildly ramified extensions of local fields. The results, not previously published in book form, show that Hopf algebras play a natural role in local Galois module theory. Included in this work are expositions of short exact sequences of Hopf algebras; Hopf Galois structures on separable field extensions; a generalization of Noether's theorem on the Galois module structure of tamely ramified extensions of local fields ...

Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory 2000, American Mathematical Society(RI)

ISBN-13: 9780821821312

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