A Course in Commutative Algebra

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 mainta...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kemper, Gregor (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Graduate Texts in Mathematics, 256
Temas:
Algebraic geometry.
Commutative algebra.
Commutative rings.
Mathematics > Data processing.
Algebraic Geometry.
Commutative Rings and Algebras.
Computational Mathematics and Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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