Simple noetherian rings
This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix. Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, th…
Read More ↓Title Statements
- Full title :Simple noetherian rings / John Cozzens and Carl Faith
Summary
This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix. Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, the Correspondence theorem, the Wedderburn-Artin theorem, .
Read More ↓Edition Statements
- Publication Date:2008
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2008
The Physical Object
- Description:xvii, 135 s
Edition Identifiers
- ISBN:9780521092999, 052109299X, 9780521207348, 0521207347
- oclc:ocn475545085
- Dewey Decimal:512.4
Table of Contents
1. The correspondence theorem for projective modules; 2. Structure of Noetherian simple rings; 3. Noetherian simple domains; 4. Orders in simple Artin rings; 5. V-rings; 6. PCI-rings; 7. Open problems
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