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Algebra / 2, Fields with structure, algebras and advanced topics / Falko Lorenz.

Author: Falko Lorenz
Publisher: New York, NY : Springer, 2008.
Series: Universitext
Edition/Format:   Book : English
Database:WorldCat
Summary:

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Falko Lorenz
ISBN: 9780387724874 0387724877
OCLC Number: 315533871
Notes: Includes index.
Description: IX, 336 S.
Contents: Ordered Fields and Real Fields.- Hilbert's Seventeenth Problem and the Real Nullstellensatz.- Orders and Quadratic Forms.- Absolute Values on Fields.- Residue Class Degree and Ramification Index.- Local Fields.- Witt Vectors.- The Tsen Rank of a Field.- Fundamentals of Modules.- Wedderburn Theory.- Crossed Products.- The Brauer Group of a Local Field.- Local Class Field Theory.- Semisimple Representations of Finite Groups.- The Schur Group of a Field.
Series Title: Universitext
Responsibility: Falko Lorenz.

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From the reviews: "The approach taken by the author is very straightforward, both in its presentation of proofs and its examples. Unlike some books, it is very possible to teach yourself the subject Read more...

 
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