Commutative Algebra Volume II

This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a

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s. Axler

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Editorial Board EW. Gehring P.R. Halmos

Springer-Verlag Berlin Heidelberg GmbH

Graduate Texts in Mathematics

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TAKEUTJIZARING. Introduction to Axiomatic Set Theory. 2nd ed. OXTOBY. Measure and Category. 2nd ed. SCHAEFER. Topological Vector Spaces. HILTONISTAMMBACH. A Course in Homological Algebra. 2nd ed. MAC LANE. Categories for the Working Mathematician. HuGtlEslPIPER. Projective Planes. SERRE. A Course in Arithmetic. TAKEUTJIZARING. Axiomatic Set Theory. HUMPHREYS. Introduction to Lie Algebras and Representation Theory. COHEN. A Course in Simple Homotopy Theory. CONWAY. Functions of One Complex Variable I. 2nd ed. BEALS. Advanced Mathematical Analysis. ANDERSON/FUllER. Rings and Categories of Modules. 2nd ed. GOLUBITSKy/GUILLEMlN. Stable Mappings and Their Singularities. BERBERIAN. Lectures in Functional Analysis and Operator Theory. WINTER. The Structure of Fields. ROSENBLATT. Random Processes. 2nd ed. HALMos. Measure Theory. HALMos. A Hilbert Space Problem Book. 2nd ed. HUSEMOLLER. Fibre Bundles. 3rd ed. HUMPHREYS. Linear Algebraic Groups. BARNEs/MACK. An Algebraic Introduction to Mathematical Logic. GREUB. Linear Algebra. 4th ed. HOLMES. Geometric Functional Analysis and Its Applications. HEWITT/STROMBERG. Real and Abstract Analysis. MANES. Algebraic Theories. KELLEY. General Topology. ZARISKIISAMUEL. Commutative Algebra. VoU. ZARlsKIlSAMUEL. Commutative Algebra. Vol.lI. JACOBSON. Lectures in Abstract Algebra I. Basic Concepts. JACOBSON. Lectures in Abstract Algebra II. Linear Algebra. JACOBSON. Lectures in Abstract Algebra III. Theory of Fields and Galois Theory.

33 HIRSCH. Differential Topology. 34 SPITZE",. Principles of Random Walk. 2nd ed. 35 WERMER. Banach Algebras and Several Complex Variables. 2nd ed. 36 KELLEY/NAMIOKA et al. Linear Topological Spaces. 37 MONK. Mathematical Logic. 38 GRAUERT/FRITlSCHE. Several Complex Variables. 39 ARVESON. An Invitation to c*-Algebra! 40 KEMENY/SNEWKNAPP. Denumerable Markov Chains. 2nd ed. 41 APOSTOL. Modular Functions and Dirichlet Series in Number Theory. 2nd ed. 42 SERRE. Linear Representations of Finite Groups. 43 GILLMAN/JERISON. Rings of Continuous Functions. 44 KENDIG. Elementary Algebraic Geometl 45 LoEVE. Probability Theory I. 4th ed. 46 LoSVE. Probability Theory II. 4th ed. 47 MOISE. Geometric Topology in Dimensions 2 and 3. 48 SACHslWu. General Relativity for Mathematicians. 49 GRUENBERG/WEIR. Linear Geometry. 2nd ed. 50 EDWARDS. Fermat's Last Theorem. 51 KuNGENBERG. A Course in Differential Geometry. 52 HARTSHORNE. Algebraic Geometry. 53 MANIN. A Course in Mathematical Log 54 GRAVER/WATKINS. Combinatorics with Emphasis on the Theory of Graphs. 55 BROWN/PEARCY. Introduction to Operatl Theory I: Elements of Functional Analysis. 56 MASSEY. Algebraic Topology: An Introduction. 57 CRowELL/Fox. Introduction to Knot Theory. 58 KOBLITZ. p-adic Numbers, p-adic Analysis, and Zeta· Functions. 2nd ed. 59 LANG. Cyclotomic Fields. 60 ARNOLD. Mathematical Methods in C