A first course in abstract algebra - Info and Reading Options
By John B. Fraleigh
"A first course in abstract algebra" was published by Addison-Wesley Pub. Co. in 1982 - Reading, Mass, it has 478 pages and the language of the book is English.
“A first course in abstract algebra” Metadata:
- Title: ➤ A first course in abstract algebra
- Author: John B. Fraleigh
- Language: English
- Number of Pages: 478
- Publisher: Addison-Wesley Pub. Co.
- Publish Date: 1982
- Publish Location: Reading, Mass
“A first course in abstract algebra” Subjects and Themes:
- Subjects: ➤ Rings (Algebra) - Abstract Algebra - Algebra - Geometry - Algebra, Abstract - Polynomials - open_syllabus_project - Universal Algebra - Mathematics - Algèbre abstraite - Qa162 .f7 1989 - 512/.02 - Qa162 .f7 1998 - Problems, exercises
Edition Specifications:
- Format: Hardcover
- Dimensions: 24 x x centimeters
- Pagination: xviii, 478 p.
Edition Identifiers:
- The Open Library ID: OL4268873M - OL1924850W
- Library of Congress Control Number (LCCN): 81014938
- ISBN-13: 9780201104059
- ISBN-10: 0201104059
- All ISBNs: 0201104059 - 9780201104059
AI-generated Review of “A first course in abstract algebra”:
"A first course in abstract algebra" Table Of Contents:
- 1- pt. I. Groups.
- 2- Binary operations
- 3- Groups
- 4- Subgroups
- 5- Permutations I
- 6- Permutations II
- 7- Cyclic groups
- 8- Isomorphism
- 9- Direct products
- 10- Finitely generated abelian groups
- 11- Groups in geometry
- 12- Groups of cosets
- 13- Normal subgroups and factor groups
- 14- Homomorphisms
- 15- Series of groups
- 16- Isomorphism theorems; proof of the Jordan-Hölder theorem
- 17- Group action on a set
- 18- Applications of G-sets to counting
- 19- Sylow theorems
- 20- Applications of the Sylow theory
- 21- Free abelian groups
- 22- Free groups
- 23- Group presentations
- 24- pt. II. Rings and fields.
- 25- Rings
- 26- Integral domains
- 27- Some noncommutative examples
- 28- The field of quotients of an integral domain
- 29- Our basic goal
- 30- Quotient rings and ideals
- 31- Homomorphisms of rings
- 32- Rings of polynomials
- 33- Factorization of polynomials over a field
- 34- Unique factorization domains
- 35- Euclidean domains
- 36- Gaussian integers and norms
- 37- Introduction to extension fields
- 38- Vector spaces
- 39- Further algebraic structures
- 40- Algebraic extensions
- 41- Geometric constructions
- 42- Automorphisms of fields
- 43- The isomorphism extension theorem
- 44- Splitting fields
- 45- Separable extensions
- 46- Totally inseparable extensions
- 47- Finite fields
- 48- Galois theory
- 49- Illustrations of Galois theory
- 50- Cyclotomic extensions
- 51- Insolvability of the quintic
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