Gregor Kemper
Springer Berlin Heidelberg
2011e druk, 2010
9783642035449
A Course in Commutative Algebra
Specificaties
Gebonden, 248 blz.
|
Engels
Springer Berlin Heidelberg |
2011e druk, 2010
ISBN13: 9783642035449
Rubricering
Onderdeel van serie
Graduate Texts in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783642035449
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:248
Uitgever:Springer Berlin Heidelberg
Druk:2011
Inhoudsopgave
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.