A course in commutative algebra

Sheldon Axler, Kenneth A. Ribet, Gregor Kemper, To Idaleixis, Martin Lorenz

Type: Article

Publication Date: 2011-08-01

Citations: 61

DOI: https://doi.org/10.5860/choice.48-6961

Abstract

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 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.- References.- Notation.- Index.

Locations

Choice Reviews Online - View
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) - View - PDF

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