An Introduction to Noncommutative Noetherian Rings
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An Introduction to Noncommutative Noetherian Rings

An Introduction to Noncommutative Noetherian Rings

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About the Book

This introduction to noncommutative Noetherian rings is intended to be accessible to anyone with a basic background in algebra. It can be used as a first-year graduate text, or as a self-contained reference. The authors' pedagogic style, with much explanatory discussion and exercises integrated into the development, will be a valuable aid in this respect. The standard techniques in the area (rings of fractions, bimodules, Krull dimension, linked prime ideals) are introduced and applied to a variety of problems. A recurring emphasis is placed on prime ideals and injective modules.

Table of Contents:
Introduction; Prologue; 1. A few Noetherian rings; 2. Prime ideals; 3. Semisimple modules, Artinian modules, and nonsingular modules; 4. Injective hulls; 5. Semisimple rings of fractions; 6. Modules over semiprime goldie rings; 7. Bimodules and affiliated prime ideals; 8. Fully bounded rings; 9. Rings of fractions; 10. Artinian quotient rings; 11. Links between prime ideals; 12. Rings satisfying the second layer condition; 13. Krull dimension; 14. Numbers of generators of modules; 15. Transcendental division algebras; Appendix.


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Product Details
  • ISBN-13: 9780521360869
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 235 mm
  • No of Pages: 326
  • Returnable: N
  • Returnable: N
  • Weight: 564 gr
  • ISBN-10: 0521360862
  • Publisher Date: 24 Aug 1989
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 22 mm
  • Width: 156 mm


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