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

Autor Falko Lorenz; Silvio Levy
Vydavatel: New York : Springer, ©2008.
Edice: Universitext.
Vydání/formát:   e-kniha : Document : EnglishZobrazit všechny vydání a formáty
Databáze:WorldCat
Shrnutí:
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  Přečíst více...
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Žánr/forma: Electronic books
Problems and exercises
Textbooks
Problems, exercises, etc
Doplňující formát: Print version:
Lorenz, Falko.
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics.
New York : Springer, ©2008
(DLC)cis00003089
Typ materiálu: Document, Internetový zdroj
Typ dokumentu Internetový zdroj, Počítačový soubor
Všichni autoři/tvůrci: Falko Lorenz; Silvio Levy
ISBN: 9780387724881 0387724885
OCLC číslo: 308295908
Popis: 1 online resource (1 volume) : illustrations.
Obsahy: 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
Název edice: Universitext.
Jiné tituly: Einführung in die Algebra.
Fields with structure, algebras, and advanced topics
Odpovědnost: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.

Anotace:

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  Přečíst více...

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