
A Course in Homological Algebra
Springer (Publisher)
Published on 25. January 1972
Book
Paperback/Softback
IX, 340 pages
978-0-387-90033-9 (ISBN)
Article exhausted; check for reprint
Description
In this chapter we are largely influenced in our choice of material by the demands of the rest of the book. However, we take the view that this is an opportunity for the student to grasp basic categorical notions which permeate so much of mathematics today, including, of course, algebraic topology, so that we do not allow ourselves to be rigidly restricted by our immediate objectives. A reader totally unfamiliar with category theory may find it easiest to restrict his first reading of Chapter II to Sections 1 to 6; large parts of the book are understandable with the material presented in these sections. Another reader, who had already met many examples of categorical formulations and concepts might, in fact, prefer to look at Chapter II before reading Chapter I. Of course the reader thoroughly familiar with category theory could, in principal, omit Chapter II, except perhaps to familiarize himself with the notations employed. In Chapter III we begin the proper study of homological algebra by looking in particular at the group ExtA(A, B), where A and Bare A-modules. It is shown how this group can be calculated by means of a projective presentation of A, or an injective presentation of B; and how it may also be identified with the group of equivalence classes of extensions of the quotient module A by the submodule B.
More details
Series
Edition
1971
Language
English
Place of publication
NY
United States
Target group
Professional and scholarly
Research
Illustrations
1 s/w Abbildung
1 black & white illustrations, biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
500 gr
ISBN-13
978-0-387-90033-9 (9780387900339)
DOI
10.1007/978-1-4684-9936-0
Schweitzer Classification
Other editions
New editions

Peter J. Hilton | Urs Stammbach
A Course in Homological Algebra
Book
09/2012
2nd Edition
Springer
€85.59
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Additional editions

Peter John Hilton | U. Stammbach
A Course in Homological Algebra
Book
01/1972
Springer
€57.91
Article exhausted; check for reprint
Content
I. Modules.- II. Categories and Functors.- III. Extensions of Modules.- IV. Derived Functors.- V. The Künneth Formula.- VI. Cohomology of Groups.- VII. Cohomology of Lie Algebras.- VIII. Exact Couples and Spectral Sequences.- IX. Satellites and Homology.