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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:   Book : English

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: "Algebra II: Fields with Structure, Algebras and Advanced Topics is ... a complete algebra course, including both undergraduate and graduate topics. ... The second volume focuses on Read more...

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