A01=Louis Rowen
Abelian Group
Abstract algebra
Algebraic Closure
Author_Louis Rowen
Category=PBG
Commutative Ring
Conjugacy Classes
Disjoint Cycles
Elements Αχ
eq_isMigrated=1
eq_nobargain
Euclidean Domain
field theory
Finite Abelian Group
Finite Field
Galois Extension
Galois Group
group theory
Integral Domain
Internal Direct Product
Irreducible Polynomial
Left Multiplication Map
Minimal Polynomial
Monoid Homomorphism
Natural Surjection
non-Abelian Group
Nontrivial Normal Subgroups
Normal Subgroup
Primitive Nth Root
Ring Homomorphism
ring theory
Semidirect Product
Splitting Field
Product details
- ISBN 9781568810287
- Weight: 650g
- Dimensions: 152 x 229mm
- Publication Date: 10 Jan 1995
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including never-before-published material. From the table of contents: - Groups: Monoids and Groups - Cauchyís Theorem - Normal Subgroups - Classifying Groups - Finite Abelian Groups - Generators and Relations - When Is a Group a Group? (Cayley's Theorem) - Sylow Subgroups - Solvable Groups - Rings and Polynomials: An Introduction to Rings - The Structure Theory of Rings - The Field of Fractions - Polynomials and Euclidean Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence - Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes a set of exercises
Rowen \, Louis
