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The Quotient Problem for 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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Our work was motivated by attempts to find a criterion for the existence of a classical quotient ring, for a noetherian ring, in analogy with the various known criteria for the existence of an artinian classical quotient ring ([9], [10], [13], [2]).

We have restricted our attention to Krull symmetric noetherian rings R, and we make heavy use of the fact that all their Krull composition factors are non-singular (Proposition 7). The collection Kprime R of the associated primes of the Krull composition factors of R plays a central role, taking the place of the collection of the associated primes of R.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 33 , Issue 3 , 01 June 1981 , pp. 734 - 748
Copyright
Copyright © Canadian Mathematical Society 1981

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