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Algebra / Serge Lang.

By: Material type: TextTextSeries: Graduate texts in mathematics ; 211.Analytics: Show analyticsPublisher: New York : Springer, [2002]Copyright date: ©2002Edition: Revised 3rd editionDescription: xv, 914 pages ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 038795385X
  • 9780387953854
Subject(s): DDC classification:
  • 512 21
LOC classification:
  • QA154.3 .L3 2002
Contents:
Pt. 1. The Basic Objects of Algebra. Ch. I. Groups. Ch. II. Rings. Ch. III. Modules. Ch. IV. Polynomials -- Pt. 2. Algebraic Equations. Ch. V. Algebraic Extensions. Ch. VI. Galois Theory. Ch. VII. Extensions of Rings. Ch. VIII. Transcendental Extensions. Ch. IX. Algebraic Spaces. Ch. X. Noetherian Rings and Modules. Ch. XI. Real Fields. Ch. XII. Absolute Values -- Pt. 3. Linear Algebra and Representations. Ch. XIII. Matrices and Linear Maps. Ch. XIV. Representation of One Endomorphism. Ch. XV. Structure of Bilinear Forms. Ch. XVI. The Tensor Product. Ch. XVII. Semisimplicity. Ch. XVIII. Representations of Finite Groups. Ch. XIX. The Alternating Product -- Pt. 4. Homological Algebra. Ch. XX. General Homology Theory. Ch. XXI. Finite Free Resolutions. App. 1. The Transcendence of e and [pi] -- App. 2. Some Set Theory.
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Includes bibliographical references and index.

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

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