Commutative Algebra

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

J. T. Knight (Author)

9780521081931, Cambridge University Press

Paperback / softback, published 31 October 1971

140 pages
23 x 15.3 x 0.9 cm, 0.213 kg

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.

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.

Subject Areas: Algebra [PBF]