FINITE FREE RESOLUTIONS NORTHCOTT PDF

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up. Northcott 's, Finite Free Resolutions , has:. No, for an ideal may be finitely generated without being contained in any finitely generated prime ideal. For example, the zero ideal in a non-noetherian zero-dimensional local ring has this property.

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Special and Tea ed. Language: English. Brand new Book. 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. 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. Seller Inventory AAV More information about this seller Contact this seller 6. About this Item: Cambridge University Press , Seller Inventory LSI More information about this seller Contact this seller 7.

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Cambridge Tracts in Mathematics, No. Finite Free Resolutions Northcott, D. Finite Free Resolutions Paperback D. Finite Free Resolutions D. Create a Want Tell us what you're looking for and once a match is found, we'll inform you by e-mail.

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Finite Free Resolutions

Preface; 1. Matrices and determinants; 2. Free modules; 3. The invariants of fitting and macrae; 4. Stability and finite free resolutions; 5. Latent non-zerodivisors; 6.

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Seller Rating:. More information about this seller Contact this seller 1. Published by Cambridge University Press, London Shipping to abroad insured with tracking number.

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Finite Free Resolutions by Northcott

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