Lessons on Rings, Modules and Multiplicities

Klappentext This volume provides a clear and self-contained introduction to important results in the theory of rings and modules. Zusammenfassung This volume provides a clear and self-contained introduction to important results in the theory of rings and modules. Assuming only the mathematical background provided by a normal undergraduate curriculum! the theory is derived by comparatively direct and simple methods. Inhaltsverzeichnis Preface; Some notes for the reader; 1. Introduction to some basic ideas; 2. Prime ideals and primary submodules; 3. Rings and modules of fractions; 4. Noetherian rings and modules; 5. The theory of grade; 6. Hilbert rings and the Zeros Theorem; 7. Multiplicity theory; 8. The Koszul complex; 9. Filtered rings and modules; Index.

Product details

• Authors: D. G. Northcott, Northcott D. G.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 11.12.2008
• EAN: 9780521098076
• ISBN: 978-0-521-09807-6
• No. of pages: 464
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; MATHEMATICS / Algebra / General, Mathematics