Simple Noetherian Rings: 69 (Cambridge Tracts in Mathematics, Series Number 69) - Softcover

Cozzens, John

Softcover

ISBN 10: 052109299X ISBN 13: 9780521092999

Publisher: Cambridge University Press, 2009

Synopsis

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, the Goldie–Lesieur–Croisot theorem, and many others. Complex mathematical machinery has been eliminated wherever possible or its introduction into the text delayed as long as possible. (Even tensor products are not required until Chapter 3.)

About this title

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 052109299X
• ISBN 13: 9780521092999
• Binding: Paperback
• Number of pages: 156