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
Resource Information
The item Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
- 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."--
- Language
- eng
- Extent
- x, 213 pages
- 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
- Isbn
- 9789814603652
- Label
- Lecture notes on local rings
- Title
- Lecture notes on local rings
- Statement of responsibility
- \Birger Iversen ; edited by Holger Andreas Nielsen
- 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."--
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Lecture-notes-on-local-rings-Birger-Iversen-/s9QDh1f8Jc4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Lecture-notes-on-local-rings-Birger-Iversen-/s9QDh1f8Jc4/">Lecture notes on local rings, \Birger Iversen ; edited by Holger Andreas Nielsen</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
