Lang, Serge, 1927-2005,

Algebra / Serge Lang. - Revised 3rd edition. - xv, 914 pages ; 24 cm. - Graduate texts in mathematics ; 211 . - Graduate texts in mathematics ; 211. .

Includes bibliographical references and index.

The Basic Objects of Algebra. Groups. Rings. Modules. Polynomials -- Algebraic Equations. Algebraic Extensions. Galois Theory. Extensions of Rings. Transcendental Extensions. Algebraic Spaces. Noetherian Rings and Modules. Real Fields. Absolute Values -- 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 -- Homological Algebra. General Homology Theory. Finite Free Resolutions. The Transcendence of e and [pi] -- Some Set Theory. Pt. 1. Ch. I. Ch. II. Ch. III. Ch. IV. Pt. 2. Ch. V. Ch. VI. Ch. VII. Ch. VIII. Ch. IX. Ch. X. Ch. XI. Ch. XII. Pt. 3. Ch. XIII. Ch. XIV. Ch. XV. Ch. XVI. Ch. XVII. Ch. XVIII. Ch. XIX. Pt. 4. Ch. XX. Ch. XXI. App. 1. App. 2.

038795385X 9780387953854

2001054916


Algebra

QA154.3 / .L3 2002

512