\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2002b.01415}
\itemau{Lang, Serge}
\itemti{Algebra.}
\itemso{Springer, New York, NY (ISBN 0-387-95385-X). 929 p. (2002).}
\itemab
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).
\itemrv{~}
\itemcc{H15}
\itemut{}
\itemli{}
\end