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目次情報: 続きを見る

Editor's statement

Section editor's foreword

Preface

Historical introduction

Prerequisites

Notation

Preliminaries on fields and polynomials / 1：

Algebraic extensions / 2：

Galois theory / 3：

Transcendental Extensions / 4：

References and selected bibliography

Index

Editor's statement

Section editor's foreword

Preface

目次情報: 続きを見る

Introduction

Hopf algebras and Galois extensions

Hopf Galois structures on separable field extensions

Tame extensions and Noether's theorem

Hopf algebras of rank $p$ Larson orders

Cyclic extensions of degree $p$

Non-maximal orders Ramification restrictions

Hopf algebras of rank $p^2$

Cyclic Hopf Galois extensions of degree $p^2$

Formal groups

Principal homogeneous spaces and formal groups

Bibliography

Index

Introduction

Hopf algebras and Galois extensions

Hopf Galois structures on separable field extensions