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Lectures in Homological Algebra

A co-publication of the AMS and CBMS
Available Formats:
Electronic ISBN: 978-1-4704-2368-1
Product Code: CBMS/8.E
List Price: $21.00 Individual Price:$16.80
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Lectures in Homological Algebra
A co-publication of the AMS and CBMS
Available Formats:
 Electronic ISBN: 978-1-4704-2368-1 Product Code: CBMS/8.E
 List Price: $21.00 Individual Price:$16.80
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 81971; 74 pp
MSC: Primary 18;

This volume constitutes a record of the course in homological algebra given at the Virginia Polytechnic Institute in July 1970 under the auspices of the National Science Foundation's Regional Conference project. The nature of the audience required that the course begin with an introduction to the notion of modules over a unitary ring, but permitted rapid development of the theory from that starting point. The first three chapters may be regarded as containing material essential to any introductory course in homological algebra, while the later chapters reflect the choices actually made by the audience among many possible special topics accessible to those who had mastered the early material. Thus it may be claimed that the course achieved depth of penetration on a narrow front, while it is admitted that breadth of coverage of the entire domain of homological algebra was neither attempted nor achieved.

• Chapters
• 1. $\Lambda$-modules
• 2. Chain-complexes, resolutions and derived functors
• 3. Properties of derived functors
• 4. Ext without projectives and injectives
• 5. Exact couples and spectral sequences
• 6. The Grothendieck spectral sequence
• Reviews

• There obviously is a need for a short smooth introduction to homological algebra. This is a contribution in that direction.

S. Moran, Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 81971; 74 pp
MSC: Primary 18;

This volume constitutes a record of the course in homological algebra given at the Virginia Polytechnic Institute in July 1970 under the auspices of the National Science Foundation's Regional Conference project. The nature of the audience required that the course begin with an introduction to the notion of modules over a unitary ring, but permitted rapid development of the theory from that starting point. The first three chapters may be regarded as containing material essential to any introductory course in homological algebra, while the later chapters reflect the choices actually made by the audience among many possible special topics accessible to those who had mastered the early material. Thus it may be claimed that the course achieved depth of penetration on a narrow front, while it is admitted that breadth of coverage of the entire domain of homological algebra was neither attempted nor achieved.

• Chapters
• 1. $\Lambda$-modules
• 2. Chain-complexes, resolutions and derived functors
• 3. Properties of derived functors
• 4. Ext without projectives and injectives
• 5. Exact couples and spectral sequences
• 6. The Grothendieck spectral sequence
• There obviously is a need for a short smooth introduction to homological algebra. This is a contribution in that direction.

S. Moran, Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.