Lecture Notes On Local Rings - Couverture rigide

Iversen, Birger

 
9789814603652: Lecture Notes On Local Rings
Couverture rigide
ISBN 10 : 9814603651 ISBN 13 : 9789814603652
Editeur : World Scientific Publishing Co Pte Ltd, 2014

Synopsis

This is a very nice text on some important topics on commutative ring theory. Mathematical Association of America The content in Chapter 13 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 CohenMacaulay rings and depth. In Chapters 46 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 79 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

This is a very nice text on some important topics on commutative ring theory. --Mathematical Association of America

When it comes to applications in commutative algebra of the homological theory of complexes, Iversen was one of the pioneers and, as was noted above, the book even includes some of his original work in that area. It is still an active area of research, and a little patience may be required to reconcile the book's terminology with that of contemporary research articles. This book is for those who prefer — or at least want to experiment with — the alternative: using a lean text to which the lecturer has to add supplementary material. This reviewer does not know of any such text that like this one, emphasizes the homological approach to local algebra. --Mathematical Reviews

Présentation de l'éditeur

“This is a very nice text on some important topics on commutative ring theory.” Mathematical Association of America 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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2014
Langue
anglais
ISBN 10 
9814603651
ISBN 13 
9789814603652
Reliure
Relié
Nombre de pages
226
Éditeur
Nielsen Holger Andreas
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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