Date and Time
Normal view MARC view ISBD view

Course in commutative algebra

by Kemper, Gregor.
Material type: materialTypeLabelBookSeries: Graduate texts in mathematics: 256.Publisher: New York : Springer, c2011Description: xi, 246 p. : ill. ; 25 cm.ISBN: 9783642035449 (Hbk).Subject(s): Commutative algebra | Algebra | Mathematics | Àlgebra commutativa | Matemàtica | Kommutative AlgebraDDC classification: 516.35 K32C Online resources: Inhaltsverzeichnis
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.
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.--
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Collection Call number Status Notes Date due Barcode
Books Books Central Library, IISER Bhopal

 

OPAC URL: http://webopac.iiserb.ac.in/

Reference Section
Reference 516.35 K32C (Browse shelf) Not For Loan Reserve 8384
Browsing Central Library, IISER Bhopal Shelves , Shelving location: Reference Section , Collection code: Reference Close shelf browser
No cover image available
No cover image available
516.35 H98F Fourier-Mukai transforms in algebraic geometry 516.35 J26M Motives 516.35 J26M Motives 516.35 K32C Course in commutative algebra 516.35 M314I Introduction to the theory of schemes 516.35 M919A Algebraic Geometry I : 516.35 P79R Rational points on varieties

Includes bibliographical references (p. 235-237) and indexes.

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.

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.--

There are no comments for this item.

Log in to your account to post a comment.



Contact for Queries: skpathak@iiserb.ac.in

Powered by Koha