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Fields with structure, algebras and advanced topics

Author: Falko Lorenz
Publisher: New York, NY : Springer, 2008.
Series: Algebra / Falko Lorenz, Vol. 2.; Universitext.
Edition/Format:   Print 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: 0387724877 ) 9780387724874
OCLC Number: 255665535
Description: IX, 336 S. : graph. Darst. ; 235 mm x 155 mm.
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: Algebra / Falko Lorenz, Vol. 2.; Universitext.
Responsibility: with the collab. of the transl., Silvio Levy.

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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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