Lecture Notes On Local Rings
Author:   Holger Andreas Nielsen (Aarhus Univ, Denmark) ,  Birger Iversen (Aarhus Univ, Denmark)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814603652


Pages:   224
Publication Date:   26 August 2014
Format:   Hardback
Availability:   In Print   Availability explained
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Lecture Notes On Local Rings


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Overview

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.

Full Product Details

Author:   Holger Andreas Nielsen (Aarhus Univ, Denmark) ,  Birger Iversen (Aarhus Univ, Denmark)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814603652


ISBN 10:   9814603651
Pages:   224
Publication Date:   26 August 2014
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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