Localization in Non-Commutative Noetherian Rings
1976 ◽
Vol 28
(3)
◽
pp. 600-610
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Keyword(s):
To construct a well behaved localization of a noetherian ringRat a semiprime ideal S, it seems necessary to assume that the set(S)of moduloSregular elements satisfies the Ore condition ; and it is convenient to require the Artin Rees property for the Jacobson radical of the quotient ringRsin addition: one calls such 5classical.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.
1980 ◽
Vol 23
(2)
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pp. 187-192
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Keyword(s):
1979 ◽
Vol 20
(2)
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pp. 125-128
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Keyword(s):
1972 ◽
Vol 24
(4)
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pp. 703-712
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1981 ◽
Vol 33
(2)
◽
pp. 325-346
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Keyword(s):
2011 ◽
Vol 21
(08)
◽
pp. 1381-1394
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Keyword(s):
1981 ◽
Vol 33
(3)
◽
pp. 734-748
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Keyword(s):
1972 ◽
Vol 13
(2)
◽
pp. 159-163
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Keyword(s):
1986 ◽
Vol 103
◽
pp. 39-66
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Keyword(s):
2003 ◽
Vol 02
(03)
◽
pp. 351-364
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Keyword(s):
1999 ◽
Vol 42
(2)
◽
pp. 174-183
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Keyword(s):