Algebra

Front Cover
American Mathematical Soc., 1999 - Mathematics - 626 pages
This book presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. This axiomatic approach - emphasized by Hilbert and developed in Germany by Noether, Artin, Van der Waerden, et al., in the 1920s - was popularized for the graduate level in the 1940s and 1950s to some degree by the authors' publication of A Survey of Modern Algebra. The present book presents the developments from that time to the first printing of this book. This third edition includes corrections made by the authors.
 

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Contents

I
1
II
43
III
85
IV
129
V
160
VI
193
VII
223
VIII
261
X
338
XI
378
XII
409
XIII
436
XIV
470
XV
495
XVI
522
Copyright

IX
293

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