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Lecture Notes On Local Rings

Lingua IngleseInglese
Libro Rigido
Libro Lecture Notes On Local Rings Holger Andreas Nielsen
Codice Libristo: 06788099
Casa editrice World Scientific Publishing Co Pte Ltd, agosto 2014
The content in Chapter 13 is a fairly standard onesemester course on local rings with the goal to re... Descrizione completa
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The content in Chapter 13 is a fairly standard onesemester 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 Iversens results are given in Chapter 9. Chapter 10 is about Serres intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.* deceasedContents:Dimension of a Local RingModules over a Local RingDivisor TheoryCompletionInjective ModulesLocal CohomologyDualizing ComplexesLocal DualityAmplitude and DimensionIntersection MultiplicitiesComplexes of Free ModulesReadership: Graduate students and academic researchers with an interest in algebra, commutative algebra, algebra geometry, homological algebra and algebraic number theory.

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Informazioni sul libro

Titolo completo Lecture Notes On Local Rings
Autore Holger Andreas Nielsen
Lingua Inglese
Rilegatura Libro - Rigido
Data di pubblicazione 2014
Numero di pagine 224
EAN 9789814603652
ISBN 9789814603652
Codice Libristo 06788099
Casa editrice World Scientific Publishing Co Pte Ltd
Peso 536
Dimensioni 164 x 241 x 21

Categorie

Matematica e Scienze > Matematica > Geometria > Geometria algebrica
Matematica e Scienze > Matematica > Algebra
Matematica e Scienze > Matematica > Teoria dei numeri
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