An edition of A first course in abstract algebra
(1967)
A first course in abstract algebra
3rd ed.
by John B. Fraleigh
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A first course in abstract algebra
2003, Addison-Wesley
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A first course in abstract algebra
November 6, 2002, Addison Wesley
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A first course in abstract algebra
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A first course in abstract algebra
1994, Addison-Wesley
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A first course in abstract algebra
1989, Addison-Wesley Pub. Co.
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A first course in abstract algebra
1982, Addison-Wesley Pub. Co.
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Book Details
Table of Contents
pt. I. Groups.
Binary operations
Groups
Subgroups
Permutations I
Permutations II
Cyclic groups
Isomorphism
Direct products
Finitely generated abelian groups
Groups in geometry
Groups of cosets
Normal subgroups and factor groups
Homomorphisms
Series of groups
Isomorphism theorems; proof of the Jordan-Hölder theorem
Group action on a set
Applications of G-sets to counting
Sylow theorems
Applications of the Sylow theory
Free abelian groups
Free groups
Group presentations
pt. II. Rings and fields.
Rings
Integral domains
Some noncommutative examples
The field of quotients of an integral domain
Our basic goal
Quotient rings and ideals
Homomorphisms of rings
Rings of polynomials
Factorization of polynomials over a field
Unique factorization domains
Euclidean domains
Gaussian integers and norms
Introduction to extension fields
Vector spaces
Further algebraic structures
Algebraic extensions
Geometric constructions
Automorphisms of fields
The isomorphism extension theorem
Splitting fields
Separable extensions
Totally inseparable extensions
Finite fields
Galois theory
Illustrations of Galois theory
Cyclotomic extensions
Insolvability of the quintic
Edition Notes
Bibliography: p. 448-450.
Includes index.
Classifications
The Physical Object
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| July 16, 2024 | Edited by MARC Bot | import existing book |
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