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Algebra. Vol. 2, Fields with structure, algebras, and advanced topics

Autore: Falko Lorenz; Silvio Levy
Editore: New York : Springer, ©2008.
Serie: Universitext.
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic  Per saperne di più…
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Genere/forma: Electronic books
Problems and exercises
Textbooks
Problems, exercises, etc
Informazioni aggiuntive sul formato: Print version:
Lorenz, Falko.
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics.
New York : Springer, ©2008
(DLC)cis00003089
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: Falko Lorenz; Silvio Levy
ISBN: 9780387724881 0387724885
Numero OCLC: 308295908
Descrizione: 1 online resource (1 volume) : illustrations.
Contenuti: Foreword --
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 --
Appendix: problems and remarks --
Index
Titolo della serie: Universitext.
Altri titoli: Einführung in die Algebra.
Fields with structure, algebras, and advanced topics
Responsabilità: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.
Maggiori informazioni:

Abstract:

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  Per saperne di più…

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