Algebra A Graduate Course

Name: Algebra A Graduate Course
Availability: OutOfStock
ISBN: 9780534190026

ISBN-10: 0534190022

ISBN-13: 9780534190026

Edition: 1994

Authors: I. Martin Isaacs

List price: $215.95

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Isaacs' love for algebra and his more than 25 years of teaching experience in mathematics is evident throughout the book. In order to draw students into the material, Isaacs offers numerous examples and exercises and he seldom teaches a definition unless it leads to some interesting or exciting theorem. A number of specialized topics are included, so professors may design a course that is compatible with their own tastes. Students using this book should have knowledge of the basic ideas of group theory, ring theory, and field theory. They should know elementary linear algebra and matrix theory and they should be comfortable with mathematical proofs (how to read them, invent them, and write…

Book details

List price: $215.95
Copyright year: 1994
Publisher: Brooks/Cole
Publication date: 11/15/1993
Binding: Hardcover
Pages: 528
Size: 6.75" wide x 9.75" long x 1.00" tall
Weight: 1.694
Language: English




Noncommutative Algebra



Definitions and Examples of Groups



Subgroups and Cosets



Homomorphisms



Group Actions



The Sylow Theorems and p-groups



Permutation Groups



New Groups from Old



Solvable and Nilpotent Groups



Transfer



Operator Groups and Unique Decompositions



Module Theory without Rings



Rings, Ideals, and Modules



Simple Modules and Primitive Rings



Artinian Rings and Projective Modules



An Introduction to Character Theory



Commutative Algebra



Polynomial Rings, PIDs, and UFDs



Field Extensions



Galois Theory



Separability and Inseparability



Cyclotomy and Geometric Constructions



Finite Fields



Roots, Radicals, and Real Numbers



Norms, Traces, and Discriminants



Transcendental Extensions



The Artin-Schreier Theorem



Ideal Theory



Noetherian Rings



Integrality



Dedekind Domains



Algebraic Sets and the Nullstellensatz


Index