Noncommutative Noetherian rings /
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| Author / Creator: | McConnell, J. C. (John C.) |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c2001. |
| Description: | xx, 636 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | Graduate studies in mathematics v. 30 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4424962 |
Table of Contents:
- 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