TY  - BOOK
AU  - Lorenz, Falko
TI  - Algebra Vol. - I: Fields and Galois Theory
SN  - 9780387289304
U1  - 512 
PY  - 2006///
CY  - New York
PB  - Springer Berlin Heidelberg
KW  - Mathematics
N1  - Foreword 1.  Constructibility with Ruler and Compass 2. Algebraic Extensions 3.  Simple Extensions 4.  Fundamentals of Divisibility 5.  Prime Factorization in Polynomial Rings. Gauss's Theorem 6.  Polynomial Splitting Fields 7.  Separable Extensions 8.  Galois Extensions 9.  Finite Fields, Cyclic Groups and Roots of Unity 10. Group Actions 11.  Applications of Galois Theory to Cyclotomic Fields 12.  Further Steps into Galois Theory 13.  Norm and Trace 14.  Binomial Equations 15. Solvability of Equations 16.  Integral Ring Extensions 17. The Transcendence of )( 18.  Transcendental Field Extensions 19. Hilbert's Nullstellensatz Appendix: Problems and Remarks Index of Notation Index
ER  -