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Simple Noetherian Rings: Cambridge Tracts in Mathematics, cartea 69

Autor John Cozzens, CArl Faith
en Limba Engleză Paperback – 8 ian 2009
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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Specificații

ISBN-13: 9780521092999
ISBN-10: 052109299X
Pagini: 156
Dimensiuni: 140 x 216 x 9 mm
Greutate: 0.2 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

This work specifically surveys simple Noetherian rings.