Commutative Algebra

by J. T. Knight

Overview

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.

Product Details

ISBN-13:	9780521081931
Publisher:	Cambridge University Press
Publication date:	10/31/1971
Series:	London Mathematical Society Lecture Note Series , #5
Pages:	140
Product dimensions:	6.02(w) x 9.06(h) x 0.35(d)

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. Prüfer and Dedekind rings; 9. General exercises; Appendices; Bibliography; Indices.