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  3. Simple Noetherian Rings
  • Cited by 55
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
1975
Online ISBN:
9780511565700
DOI:
https://doi.org/10.1017/CBO9780511565700
Subjects:
Mathematics (general), Mathematics, Algebra
Series:
Cambridge Tracts in Mathematics (69)
Information

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. 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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