Louis Rowen

Algebra (eBook, PDF)

Groups, Rings, and Fields

• Format: PDF

Produktbeschreibung

This book provides the traditional role of exercises in a course to provide more-or-less routine applications of the main results, for the student's edification and also as possible material for examinations. It discusses Noetherian rings and prime ideals for algebraic geometry.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 264
• Erscheinungstermin: 8. Oktober 2018
• Englisch
• ISBN-13: 9781439863527
• Artikelnr.: 57896070

Autorenporträt

Rowen \, Louis

Inhaltsangabe

Part I: Groups 1. Monoids and Groups 2. How to Divide: Lagrange's Theorem,
Cosets, and an Application to Number Theory 3. Cauchy's Theorem: How to
Show a Number is Greater than 1 4. Introduction to the Classification of
Groups: Homomorphisms, Isomorphisms, and Invariants 5. Normal Subgroups-
the Building Blocks of the Structure Theory 6. Classifying Groups- Cyclic
Groups and Direct Products 7. Finite Abelian Groups 8. Generators and
Relations 9. When is a Group a Group? (Cayley's Theorem) 10. Recounting:
Conjugacy Classes and the Class Formula 11. Sylow Subgroups: A New
Invariant 12. Solvable Groups: What Could Be Simpler? Part II: Rings and
Polynomials 14. An Introduction to Rings 15. The Structure Theory of Rings
16. The Field of Fractions- a Study in Generalization 17. Principal Ideal
Domains: Induction without Numbers 18. Roots of Polynomials 19. (Optional)
Applications: Famous Results from Number Theory 20. Irreducible Polynomials
Part III: Fields 21. Field Extensions: Creating Roots of Polynomials 22.
The Problems of Antiquity 23. Adjoining Roots to Polynomials: Splitting 24.
Finite Fields 25. The Galois Correspondence 26. Applications of the Galois
Correspondence 27. Solving Equations by Radicals