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Noncommutative Noetherian Rings

J. C. McConnell and J. C. Robson
Publisher: 
American Mathematical Society
Publication Date: 
2000
Number of Pages: 
636
Format: 
Hardcover
Series: 
Graduate Studies in Mathematics 30
Price: 
80.00
ISBN: 
978-0-8218-2169-5
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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  • Preliminaries

Basic theory

  • Some Noetherian rings
  • Quotient rings and Goldie's theorem
  • Structure of semiprime Goldie rings
  • Semiprime ideals in Noetherian rings
  • Some Dedekind-like rings

Dimensions

  • Krull dimension
  • Global dimension
  • Gelfand-Kirillov dimension

Extensions

  • The Nullstellensatz
  • Prime ideals in extension rings
  • Stability
  • $K_0$ and extension rings

Examples

  • Polynomial identity rings
  • Enveloping algebras of Lie algebras
  • Rings of differential operators on algebraic varieties
  • References
  • Index of notation
  • Index

Dummy View - NOT TO BE DELETED