Ideals and Reality
Publication year: 2005
ISBN: 978-3-540-26370-8
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The book gives a comprehensive introduction to basic commutative algebra, together with the related methods from homological algebra, which will enable students who know only the fundamentals of algebra to enjoy the power of using these tools. At the same time, it also serves as a valuable reference for the research specialist and as potential course material, because the authors present, for the first time in book form, an approach here that is an intermix of classical algebraic K-theory and complete intersection techniques, making connections with the famous results of Forster-Swan and Eisenbud-Evans. A study of projective modules and their connections with topological vector bundles in a form due to Vaserstein is included. Important subsidiary results appear in the copious exercises.
Subject: Mathematics and Statistics, Classical algebraic K-theory, Complete intersections, Finite, K-theory, Numbers of generators, Projective modules, Serre's conjecture, Vector bundles, algebra, commutative algebra, geometry, proof, theorem
