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Relative homological algebra. Volume 1 / Edgar E. Enochs, Overtoun M.G. Jenda.

By: Contributor(s): Material type: TextTextSeries: De Gruyter expositions in mathematics ; 30.Publication details: Berlin ; Boston : De Gruyter, ©2011.Edition: 2nd rev. and extended edDescription: 1 online resource (xiii, 359 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110215212
  • 3110215217
Subject(s): Additional physical formats: No titleDDC classification:
  • 512/.64 23
LOC classification:
  • QA169 .E661 2011eb
Other classification:
  • SK 260
Online resources:
Contents:
Frontmatter -- Preface -- Preface to the Second Edition -- Contents -- Chapter 1. Basic Concepts -- Chapter 2. Flat Modules, Chain Conditions and Prime Ideals -- Chapter 3. Injective and Flat Modules -- Chapter 4. Torsion Free Covering Modules -- Chapter 5. Covers -- Chapter 6. Envelopes -- Chapter 7. Covers, Envelopes, and Cotorsion Theories -- Chapter 8. Relative Homological Algebra and Balance -- Chapter 9. Iwanaga-Gorenstein and Cohen-Macaulay Rings and Their Modules -- Chapter 10. Gorenstein Modules -- Chapter 11. Gorenstein Covers and Envelopes -- Chapter 12. Balance over Gorenstein and Cohen-Macaulay Rings -- Bibliographical Notes -- Bibliography -- Index.
Summary: This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. The book is also suitable for an introductory course in commutative and ordinary homological algebra.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references and index.

This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. The book is also suitable for an introductory course in commutative and ordinary homological algebra.

Frontmatter -- Preface -- Preface to the Second Edition -- Contents -- Chapter 1. Basic Concepts -- Chapter 2. Flat Modules, Chain Conditions and Prime Ideals -- Chapter 3. Injective and Flat Modules -- Chapter 4. Torsion Free Covering Modules -- Chapter 5. Covers -- Chapter 6. Envelopes -- Chapter 7. Covers, Envelopes, and Cotorsion Theories -- Chapter 8. Relative Homological Algebra and Balance -- Chapter 9. Iwanaga-Gorenstein and Cohen-Macaulay Rings and Their Modules -- Chapter 10. Gorenstein Modules -- Chapter 11. Gorenstein Covers and Envelopes -- Chapter 12. Balance over Gorenstein and Cohen-Macaulay Rings -- Bibliographical Notes -- Bibliography -- Index.

In English.

Added to collection customer.56279.3

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