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Hopf Algebras, Polynomial Formal Groups, and Raynaud Orders
Language: en
Pages: 133
Authors: Lindsay Childs
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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This volume gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic r
An Introduction to Hopf Algebras
Language: en
Pages: 283
Authors: Robert G. Underwood
Categories: Mathematics
Type: BOOK - Published: 2011-08-28 - Publisher: Springer Science & Business Media

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Only book on Hopf algebras aimed at advanced undergraduates
Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory
Language: en
Pages: 225
Authors: Lindsay Childs
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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This book studies Hopf algebras over valuation rings of local fields and their application to the theory of wildly ramified extensions of local fields. The resu
Hopf Algebras and Galois Module Theory
Language: en
Pages: 311
Authors: Lindsay N. Childs
Categories: Education
Type: BOOK - Published: 2021-11-10 - Publisher: American Mathematical Soc.

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Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surve
Squared Hopf Algebras
Language: en
Pages: 197
Authors: Volodymyr V. Lyubashenko
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

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This book is intended for graduate students and research mathematicians interested in associative rings and algebras.