Algebra Vol. - I: Fields and Galois Theory

By:

Lorenz, Falko

Material type: Text

TextSeries: UniversitextPublication details: New York Springer Berlin Heidelberg 2006Description: 293pISBN:

9780387289304

Subject(s):

Mathematics

DDC classification:

512 LOR

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Holdings
Item type	Current library	Item location	Collection	Call number	Status	Date due	Barcode	Item holds
Book	NIMA Knowledge Centre	9th Floor Reading Zone	General	512 LOR (Browse shelf(Opens below))	Available		M0025664

Total holds: 0

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

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