Commutative Algebra by James Thomson Knight (English) Paperback Book

Publisher Description

This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. It assumes only that the reader has completed an undergraduate algebra course. The fresh approach and simplicity of proof enable a large amount of material to be covered; exercises and examples are included throughout the notes.

Table of Contents

1. Preliminaries; 2. Flatness; 3. Fractions; 4. Supporting and associated prime ideals; 5. Integers; 6. Some geometrical results; 7. Valuation rings; 8. Prufer and Dedekind rings; 9. General exercises; Appendices; Bibliography; Indices.

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This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry.

Description for Bookstore

This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. It assumes only that the reader has completed an undergraduate algebra course. The fresh approach and simplicity of proof enable a large amount of material to be covered; exercises and examples are included throughout the notes.

Description for Library

This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. It assumes only that the reader has completed an undergraduate algebra course. The fresh approach and simplicity of proof enable a large amount of material to be covered; exercises and examples are included throughout the notes.

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