The Resource A Course in Commutative Algebra, by Gregor Kemper, (electronic resource)

A Course in Commutative Algebra, by Gregor Kemper, (electronic resource)

Label
A Course in Commutative Algebra
Title
A Course in Commutative Algebra
Statement of responsibility
by Gregor Kemper
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text
Member of
http://library.link/vocab/creatorName
Kemper, Gregor
Dewey number
512.44
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
dttRBtyewac
Language note
English
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Graduate Texts in Mathematics,
Series volume
256
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Algebra
  • Computer science
  • Algebraic Geometry
  • Commutative Rings and Algebras
  • Computational Mathematics and Numerical Analysis
Label
A Course in Commutative Algebra, by Gregor Kemper, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Introduction -- Part I The Algebra Geometry Lexicon: 1 Hilbert's Nullstellensatz; 2 Noetherian and Artinian Rings; 3 The Zariski Topology; 4 A Summary of the Lexicon -- Part II Dimension: 5 Krull Dimension and Transcendence Degree; 6 Localization; 7 The Principal Ideal Theorem; 8 Integral Extensions -- Part III Computational Methods: 9 Gröbner Bases; 10 Fibers and Images of Morphisms Revisited; 11 Hilbert Series and Dimension -- Part IV Local Rings: 12 Dimension Theory; 13 Regular Local Rings; 14 Rings of Dimension One -- References -- Notation -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (247 p.)
Form of item
online
Isbn
9783642035456
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-03545-6
Specific material designation
remote
System control number
  • (CKB)2670000000065000
  • (EBL)3066237
  • (SSID)ssj0000476023
  • (PQKBManifestationID)11324900
  • (PQKBTitleCode)TC0000476023
  • (PQKBWorkID)10479070
  • (PQKB)10234419
  • (DE-He213)978-3-642-03545-6
  • (MiAaPQ)EBC3066237
  • (EXLCZ)992670000000065000
Label
A Course in Commutative Algebra, by Gregor Kemper, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Introduction -- Part I The Algebra Geometry Lexicon: 1 Hilbert's Nullstellensatz; 2 Noetherian and Artinian Rings; 3 The Zariski Topology; 4 A Summary of the Lexicon -- Part II Dimension: 5 Krull Dimension and Transcendence Degree; 6 Localization; 7 The Principal Ideal Theorem; 8 Integral Extensions -- Part III Computational Methods: 9 Gröbner Bases; 10 Fibers and Images of Morphisms Revisited; 11 Hilbert Series and Dimension -- Part IV Local Rings: 12 Dimension Theory; 13 Regular Local Rings; 14 Rings of Dimension One -- References -- Notation -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (247 p.)
Form of item
online
Isbn
9783642035456
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-03545-6
Specific material designation
remote
System control number
  • (CKB)2670000000065000
  • (EBL)3066237
  • (SSID)ssj0000476023
  • (PQKBManifestationID)11324900
  • (PQKBTitleCode)TC0000476023
  • (PQKBWorkID)10479070
  • (PQKB)10234419
  • (DE-He213)978-3-642-03545-6
  • (MiAaPQ)EBC3066237
  • (EXLCZ)992670000000065000

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