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Algebra

著者: Falko Lorenz; Silvio Levy
出版商: New York : Springer, 2006-2008.
丛书: Universitext.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:

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  再读一些...

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类型/形式: Textbooks
Manuels d'enseignement supérieur
附加的形体格式: Print version:
Lorenz, Falko.
Algebra.
New York : Springer, 2006-2008
(DLC) 2005932557
(OCoLC)63127532
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Falko Lorenz; Silvio Levy
ISBN: 9780387316086 0387316086 9780387724881 0387724885
OCLC号码: 209914197
注意: Textbook for graduates.
描述: 1 online resource (2 v.(vi, 293; ix, 336) : ill.
内容: Vol. I. Fields and Galois theory / with the collaboration of the translator, Silvio Levy --
Constructibility with Ruler and Compass --
Algebraic Extensions --
Simple Extensions --
Fundamentals of Divisibility --
Prime Factorization in Polynomial Rings. Gauss's Theorem --
Polynomial Splitting Fields --
Separable Extensions --
Galois Extensions --
Finite Fields, Cyclic Groups and Roots of Unity --
Group Actions --
Applications of Galois Theory to Cyclotomic Fields --
Further Steps into Galois Theory --
Norm and Trace --
Binomial Equations --
Solvability of Equations --
Integral Ring Extensions --
The Transcendence of [pi] --
Transcendental Field Extensions --
Hilbert's Nullstellensatz --
Appendix: Problems and Remark --
Index of Notation. Vol. 2. Fields with structure, algebras, and advanced topics / with the collaboration of the translator, Silvio Levy --
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.
丛书名: Universitext.
其他题名: Einführung in die Algebra.
责任: Falko Lorenz.
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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 再读一些...

 
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