Basic Abstract Algebra

Basic Abstract Algebra

by P. B. Bhattacharya, Subodh K. Jain, S. R. Nagpaul
     
 

ISBN-10: 0521311071

ISBN-13: 9780521311076

Pub. Date: 04/30/1986

Publisher: Cambridge University Press

In addition to many new problems for practice and challenge, this edition of a self-contained graduate text on abstract algebra contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem.  See more details below

Overview

In addition to many new problems for practice and challenge, this edition of a self-contained graduate text on abstract algebra contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem.

Product Details

ISBN-13:
9780521311076
Publisher:
Cambridge University Press
Publication date:
04/30/1986
Pages:
476
Product dimensions:
6.06(w) x 9.25(h) x 0.91(d)

Related Subjects

Table of Contents

Preface to the second edition
Preface to the first edition
Glossary of symbols
Ch. 1Sets and mappings3
Ch. 2Integers, real numbers, and complex numbers30
Ch. 3Matrices and determinants39
Ch. 4Groups61
Ch. 5Normal subgroups91
Ch. 6Normal series120
Ch. 7Permutation groups129
Ch. 8Structure theorems of groups138
Ch. 9Rings159
Ch. 10Ideals and homomorphisms179
Ch. 11Unique factorization domains and euclidean domains212
Ch. 12Rings of fractions224
Ch. 13Integers233
Ch. 14Modules and vector spaces246
Ch. 15Algebraic extensions of fields281
Ch. 16Normal and separable extensions300
Ch. 17Galois theory322
Ch. 18Applications of Galois theory to classical problems340
Ch. 19Noetherian and artinian modules and rings367
Ch. 20Smith normal form over a PID and rank392
Ch. 21Finitely generated modules over a PID402
Ch. 22Tensor products426
Solutions to odd-numbered problems438
Selected bibliography476
Index477

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