The Quotient Problem for Noetherian Rings
Canadian journal of mathematics, Tome 33 (1981) no. 3, pp. 734-748

Voir la notice de l'article provenant de la source Cambridge University Press

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.
Müller, Bruno J. The Quotient Problem for Noetherian Rings. Canadian journal of mathematics, Tome 33 (1981) no. 3, pp. 734-748. doi: 10.4153/CJM-1981-056-5
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