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The Resource A course in commutative algebra, Gregor Kemper

A course in commutative algebra, Gregor Kemper

Label
A course in commutative algebra
Title
A course in commutative algebra
Statement of responsibility
Gregor Kemper
Creator
Subject
Language
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. -- Back cover
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorDate
1963-
http://library.link/vocab/creatorName
Kemper, Gregor
Dewey number
512.4/4
Illustrations
illustrations
Index
index present
LC call number
QA251.3
LC item number
.K456 2011
Literary form
non fiction
Nature of contents
bibliography
Series statement
Graduate texts in mathematics
Series volume
256
http://library.link/vocab/subjectName
  • Commutative algebra
  • Kommutative Algebra
Label
A course in commutative algebra, Gregor Kemper
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 235-237) and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction ---- Part I. The Algebra-Geometry Lexicon. 1. Hilbertʹs 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. Grobner 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 ---- Solutions of Some Exercises
Control code
462919421
Dimensions
25 cm
Extent
xi, 246 pages
Isbn
9783642035449
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)462919421
Label
A course in commutative algebra, Gregor Kemper
Publication
Bibliography note
Includes bibliographical references (pages 235-237) and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction ---- Part I. The Algebra-Geometry Lexicon. 1. Hilbertʹs 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. Grobner 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 ---- Solutions of Some Exercises
Control code
462919421
Dimensions
25 cm
Extent
xi, 246 pages
Isbn
9783642035449
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)462919421

Library Locations

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      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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