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Finite free resolutions

Northcott, D. G.

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Finite free resolutions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite free resolutions/ D.G. Northcott.
Author:	Northcott, D. G.
Published:	Cambridge :Cambridge University Press, : 1976.,
Description:	xii, 271 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Algebra, Homological. -
Online resource:	https://doi.org/10.1017/CBO9780511565892
ISBN:	9780511565892

Finite free resolutions
Northcott, D. G.

Finite free resolutions[electronic resource] /D.G. Northcott. - Cambridge :Cambridge University Press,1976. - xii, 271 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;71. - Cambridge tracts in mathematics ;71..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511565892Subjects--Topical Terms:

663850
Algebra, Homological.

LC Class. No.: QA169 / .N66 1976

Dewey Class. No.: 512.55

Finite free resolutions
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100 1 $a Northcott, D. G. $q (Douglas Geoffrey) $3 3470587
245 1 0 $a Finite free resolutions $h [electronic resource] / $c D.G. Northcott.
260 $a Cambridge : $b Cambridge University Press, $c 1976.
300 $a xii, 271 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 71
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Algebra, Homological. $3 663850
650 0 $a Modules (Algebra) $3 594721
830 0 $a Cambridge tracts in mathematics ; $v 71. $3 3470728
856 4 0 $u https://doi.org/10.1017/CBO9780511565892