Simple Noetherian Rings
John Cozzens, CArl Faith
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.)
Կատեգորիաներ:
Տարի:
2009
Հրատարակում:
1
Հրատարակչություն:
Cambridge University Press
Լեզու:
english
Էջեր:
153
ISBN 10:
0521207347
ISBN 13:
9780521207348
Սերիաներ:
Cambridge Tracts in Mathematics
Ֆայլ:
DJVU, 576 KB
IPFS:
,
english, 2009