Volume: 8; 1971; 74 pp;
MSC: Primary 18;
Electronic ISBN: 978-1-4704-2368-1
Product Code: CBMS/8.E
List Price: $21.00
Individual Price: $16.80
Supplemental Materials
Lectures in Homological Algebra
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A co-publication of the AMS and CBMS
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.
Reviews & Endorsements
There obviously is a need for a short smooth introduction to homological algebra. This is a contribution in that direction.
-- S. Moran, Mathematical Reviews
Table of Contents
Table of Contents
Lectures in Homological Algebra
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Introduction vii8 free
- 1. Λ-modules 110 free
- 2. Chain-complexes, resolutions and derived functors 1423
- 3. Properties of derived functors 2534
- 4. Ext without projectives and injectives 3544
- 5. Exact couples and spectral sequences 5059
- 6. The Grothendieck spectral sequence 6473
- Back Cover Back Cover184