The Ordering of Spec R
1976 ◽
Vol 28
(4)
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pp. 820-835
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Keyword(s):
Let Specie denote the set of prime ideals of a commutative ring with identity R, ordered by inclusion; and call a partially ordered set spectral if it is order isomorphic to Spec R for some R. What are some conditions, necessary or sufficient, for a partially ordered set X to be spectral? The most desirable answer would be the type of result that would allow one to stare at the diagram of a given X and then be able to say whether or not X is spectral. For example, it is known that finite partially ordered sets are spectral (see [2] or [5]).
2014 ◽
Vol 13
(08)
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pp. 1450070
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1979 ◽
Vol 27
(4)
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pp. 495-506
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Keyword(s):
2013 ◽
Vol 12
(04)
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pp. 1250184
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Keyword(s):
Keyword(s):
Keyword(s):
2004 ◽
Vol 2004
(40)
◽
pp. 2145-2147
1964 ◽
Vol 16
◽
pp. 136-148
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Keyword(s):