No, for an ideal may be finitely generated without being contained in any finitely generated prime ideal. For example, the zero ideal in a. Machine derived contents note: Preface; 1. Matrices and determinants; 2. Free modules; 3. The invariants of fitting and macrae; 4. Stability and finite free. By D. G. NORTHCOTT £ (Cambridge U.P. theory of finite free resolutions of modules over Noetherian rings, which has already been widely applied.

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The aim of Northcott’s theory of grade norhhcott to avoid finiteness of ideal-generators the ground ring is any commutative ring, not necessary Noetherian. Catalogue Persistent Identifier https: Order a copy Copyright or permission restrictions may apply.

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Cambridge ; New York: Cambridge University PressJun 3, – Mathematics – pages. Can I view this online? These enable the reader to test his understanding and they allow the subject to be developed more rapidly.

Gruenberg Modern syllabus algebra [by] Rezolutions.

Advanced search Search history. The invariants of fitting and macrae 4. The multiplicative structure Appendices References more Fred Rohrer 4, 1 17 No, for an ideal may be finitely generated without being contained in any finitely generated prime ideal. References to this book Algebra Serge Lang Horthcott preview – Home Questions Tags Users Unanswered. Table of contents Broken link?

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Stability and finite free resolutions 5. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly.


Finite free resolutions / D. G. Northcott | National Library of Australia

Machine derived contents note: 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. Algebra Serge Lang Limited preview – By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Reso,utions.

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To learn more about Copies Direct watch this short online video. The introduction of a wider class The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties northhcott finite free resolutions were overlooked.