Edition 
Rev. 3rd ed. 
Physical description 
xv, 914 pages : illustrations ; 24 cm. 
Series 
Graduate texts in mathematics ; 211. 

Graduate texts in mathematics ; 211.

Bibliography 
Includes bibliographical references and index. 
Contents 
Part 1 Basic Objects of Algebra  Chapter I Groups 3  Chapter II Rings 83  Chapter III Modules 117  Chapter IV Polynomials 173  Part 2 Algebraic Equations  Chapter V Algebraic Extensions 223  Chapter VI Galois Theory 261  Chapter VII Extensions of Rings 333  Chapter VIII Transcendental Extensions 355  Chapter IX Algebraic Spaces 377  Chapter X Noetherian Rings and Modules 413  Chapter XI Real Fields 449  Chapter XII Absolute Values 465  Part 3 Linear Algebra and Representations  Chapter XIII Matrices and Linear Maps 503  Chapter XIV Representation of One Endomorphism 553  Chapter XV Structure of Bilinear Forms 571  Chapter XVI Tensor Product 601  Chapter XVII Semisimplicity 641  Chapter XVIII Representations of Finite Groups 663  Chapter XIX Alternating Product 731  Part 4 Homological Algebra  Chapter XX General Homology Theory 761  Chapter XXI Finite Free Resolutions 835  Appendix 1 Transcendence of e and [Pi] 867  Appendix 2 Some Set Theory 875. 
Summary 
"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduatelevel algebra books." NOTICES OF THE AMS  "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS  This book is intended as a basic text for a oneyear course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higherlevel algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. 
Subject 
Algebra.

ISBN 
038795385X (alk. paper) 
