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A Course in Commutative Algebra

Medium: Buch
ISBN: 978-3-642-26632-4
Verlag: Springer
Erscheinungstermin: 27.01.2013
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783642266324
  • Medium: Buch
  • ISBN: 978-3-642-26632-4
  • Verlag: Springer
  • Erscheinungstermin: 27.01.2013
  • Sprache(n): Englisch
  • Auflage: 2011
  • Serie: Graduate Texts in Mathematics
  • Produktform: Kartoniert, Previously published in hardcover
  • Gewicht: 400 g
  • Seiten: 248
  • Format (B x H x T): 155 x 235 x 15 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.