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The Resource Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen

Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen

Label
Lecture notes on local rings
Title
Lecture notes on local rings
Statement of responsibility
\Birger Iversen ; edited by Holger Andreas Nielsen
Creator
Contributor
Author
Editor
Subject
Language
eng
Summary
"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."--
Member of
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Iversen, Birger
Dewey number
512/.4
Index
index present
LC call number
QA251.38
LC item number
.I94 2014
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Nielsen, Holger Andreas
http://library.link/vocab/subjectName
  • Local rings
  • Injective modules (Algebra)
  • Intersection homology theory
  • Injective modules (Algebra)
  • Intersection homology theory
  • Local rings
Label
Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Dimension of a local ring -- Modules over a local ring -- Divisor theory -- Completion -- Injective modules -- Local cohomology -- Dualizing complexes -- Local duality -- Amplitude and dimension -- Intersection multiplicities -- Complexes of free modules
Control code
874835508
Dimensions
24 cm
Extent
x, 213 pages
Isbn
9789814603652
Isbn Type
(hardcover : alk. paper)
Lccn
2014010375
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)874835508
Label
Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Dimension of a local ring -- Modules over a local ring -- Divisor theory -- Completion -- Injective modules -- Local cohomology -- Dualizing complexes -- Local duality -- Amplitude and dimension -- Intersection multiplicities -- Complexes of free modules
Control code
874835508
Dimensions
24 cm
Extent
x, 213 pages
Isbn
9789814603652
Isbn Type
(hardcover : alk. paper)
Lccn
2014010375
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)874835508

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