Algebra (book)

For other uses, see Algebra (disambiguation).

Algebra is a graduate-level textbook on abstract algebra written by Serge Lang and was originally published by Addison-Wesley in 1965. Its intended audience is students in graduate-level courses and readers who have previously attended undergraduate-level algebra courses.^[1]

Algebra

First edition
Author	Serge Lang
Language	English
Series	Addison-Wesley Series in Mathematics
Subject	Algebra
Publisher	Addison-Wesley
Publication date	1965
Pages	508

Topics

The third-edition is divided into four parts.^[1] The first part, The Basic Objects of Algebra, covers groups, rings, modules, and polynomials. The second part, Algebraic Equations, focuses on field theory and includes a chapter on Noetherian rings and modules. The third part, Linear Algebra and Representations, contains chapters on the tensor product of modules and semi-simplicity. The fourth part, Homological Algebra, covers general homology theory and finite free resolutions.

Audience and reception

The Mathematical Association of America (MAA) states that undergraduate mathematics libraries have a copy of Algebra available.^[2]

Reviews of Algebra appeared in The Mathematical Gazette in 1967 and 2003.^[3][4]

Professor George Bergman of University of California, Berkeley wrote Companion to Lang's Algebra, a 222-page book of notes collected when teaching Berkeley's basic graduate algebra course from Lang’s book.^[5]