Cyclic Galois Extensions of Commutative Rings

  • Authors
  • Cornelius Greither

Part of the Lecture Notes in Mathematics book series (LNM, volume 1534)

Table of contents

  1. Front Matter
    Pages I-X
  2. Cornelius Greither
    Pages 1-31
  3. Cornelius Greither
    Pages 32-54
  4. Cornelius Greither
    Pages 55-66
  5. Cornelius Greither
    Pages 67-76
  6. Back Matter
    Pages 140-145

About this book

Introduction

The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.

Keywords

Galois theory algebra algebraic number theory commutative algebra commutative ring number theory

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0089165
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56350-1
  • Online ISBN 978-3-540-47539-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book