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Simple Noetherian Rings

Simple Noetherian Rings

Paperback

Series: Cambridge Tracts in Mathematics, Book 69

AlgebraGeneral Mathematics

ISBN10: 052109299X
ISBN13: 9780521092999
Publisher: Cambridge
Published: Jan 8 2009
Pages: 156
Weight: 0.45
Height: 0.36 Width: 5.50 Depth: 8.50
Language: English
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.)

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