Electronic ISBN:  9781470423681 
Product Code:  CBMS/8.E 
List Price:  $21.00 
Individual Price:  $16.80 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 8; 1971; 74 ppMSC: 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.

Table of Contents

Chapters

1. $\Lambda $modules

2. Chaincomplexes, 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


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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. Chaincomplexes, 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