@book {MATHEDUC.02344677,
author = {Lang, Serge},
title = {Algebra.},
year = {2002},
isbn = {0-387-95385-X},
pages = {929 p.},
publisher = {Springer, New York, NY},
abstract = {The book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It addresses the basic concepts of algebra. For the revised third edition, the author has included additional exercises and made numerous corrections to the text. Contents: (I) The basic objects of algebra (Groups; Rings; Modules; Polynomials); (II) Algebraic equations (Algebraic extensions; Galois theory; Extensions of rings; Transcendental extensions; Algebraic spaces; Noetherian Rings and Modules; Real fields; Absolute values); (III) Linear algebra and representations (Matrices and linear maps; Representation of one endomorphism; Structure of bilinear forms; The tensor product; Semisimplicity; Representations of finite groups; The alternating product); (IV) Homological algebra (General homology theory; Finite free resolutions); Appendices (The transcendence of e and pi; Some set theory; Bibliography).},
msc2010 = {H15xx},
identifier = {2002b.01415},
}