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A course in commutative algebra

Author: Gregor Kemper
Publisher: Dordrecht ; New York : Springer, ©2011.
Series: Graduate texts in mathematics, 256.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kemper, Gregor, 1963-
Course in commutative algebra.
Dordrecht ; New York : Springer, ©2011
(OCoLC)462919421
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gregor Kemper
ISBN: 9783642035456 3642035450
OCLC Number: 697508693
Description: 1 online resource (xi, 246 pages) : illustrations
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.
Series Title: Graduate texts in mathematics, 256.
Responsibility: Gregor Kemper.

Abstract:

This text offers a thorough, modern introduction to commutative algebra. It concentrates on concepts and results at the center of the field while keeping a constant view on the natural geometrical  Read more...

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From the reviews:"This recent addition to Springer's famous Graduate Texts in Mathematics (GTM) series comprises a thorough, modern introduction to commutative algebra with the central concepts and Read more...

 
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