The Quotient Problem for Noetherian Rings
1981 ◽
Vol 33
(3)
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pp. 734-748
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Keyword(s):
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.
1979 ◽
Vol 20
(2)
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pp. 125-128
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Keyword(s):
1986 ◽
Vol 103
◽
pp. 39-66
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Keyword(s):
1976 ◽
Vol 28
(3)
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pp. 600-610
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Keyword(s):
1980 ◽
Vol 23
(2)
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pp. 187-192
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Keyword(s):
2018 ◽
Vol 55
(3)
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pp. 345-352
Keyword(s):
2019 ◽
Vol 19
(03)
◽
pp. 2050050
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1972 ◽
Vol 24
(4)
◽
pp. 703-712
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1991 ◽
Vol 34
(1)
◽
pp. 155-160
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