Format:
1 Online-Ressource (xii, 271 pages)
,
digital, PDF file(s).
ISBN:
9780511565892
Series Statement:
Cambridge tracts in mathematics 71
Content:
An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked. D. A. Buchsbaum and D. Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly. This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory, and to provide a sound foundation for further study. The text contains a substantial number of exercises. These enable the reader to test his understanding and they allow the subject to be developed more rapidly. Each chapter ends with the solutions to the exercises contained in it.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521604871
Additional Edition:
ISBN 9780521211550
Additional Edition:
ISBN 9780521211550
Additional Edition:
ISBN 9780521604871
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521211550
Language:
English
DOI:
10.1017/CBO9780511565892
