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Localization in Non-Commutative Noetherian Rings

Published online by Cambridge University Press:  20 November 2018

Bruno J. Müller
Bruno J. Müller*
Affiliation:
McMaster University, Hamilton, Ontario
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To construct a well behaved localization of a noetherian ring R at a semiprime ideal S, it seems necessary to assume that the set (S) of modulo S regular elements satisfies the Ore condition ; and it is convenient to require the Artin Rees property for the Jacobson radical of the quotient ring Rs in addition: one calls such 5 classical. To determine the classical semiprime ideals is no easy matter; it happens frequently that a prime ideal fails to be classical itself, but is minimal over a suitable classical semiprime ideal.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 600 - 610
Copyright
Copyright © Canadian Mathematical Society 1976

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