Amazon cover image
Image from Amazon.com

Cyclic Galois Extensions of Commutative Rings [electronic resource] / by Cornelius Greither.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1534Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1992Description: X, 146 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540475392
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 512.7 23
LOC classification:
  • QA241-247.5
Online resources:
Contents:
Galois theory of commutative rings -- Cyclotomic descent -- Corestriction and Hilbert's Theorem 90 -- Calculations with units -- Cyclic p-extensions and {ie771-}-extensions of number fields -- Geometric theory: cyclic extensions of finitely generated fields -- Cyclic Galois theory without the condition “p ?1 ? R”.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Home library Call number Materials specified URL Status Date due Barcode
IMSc Library Link to resource Available EBK1587

Galois theory of commutative rings -- Cyclotomic descent -- Corestriction and Hilbert's Theorem 90 -- Calculations with units -- Cyclic p-extensions and {ie771-}-extensions of number fields -- Geometric theory: cyclic extensions of finitely generated fields -- Cyclic Galois theory without the condition “p ?1 ? R”.

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.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India