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Noetherian topological space (Definition)
NoetherianTopologicalSpace

"Noetherian topological space" is owned by mathcam. [ full author list (2) | owner history (1) ]
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See Also: compact


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alternative characterizations of Noetherian topological spaces (Theorem) by yark
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Cross-references: radical ideals, one-to-one correspondence, chain, subset, ideal, properties, Zariski topology, field, prime spectrum, noetherian ring, hereditarily, compact, subspace, Hausdorff topological space, quasi-compact, compactness, Noetherian, finite, integer, sequence, closed subsets, descending chain condition, topological space
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This is version 15 of Noetherian topological space, born on 2002-09-17, modified 2007-01-11.
Object id is 3465, canonical name is NoetherianTopologicalSpace.
Accessed 4428 times total.

Classification:
AMS MSC14A10 (Algebraic geometry :: Foundations :: Varieties and morphisms)

Pending Errata and Addenda
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Discussion
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Relationship to noetherian rings by archibal on 2004-03-18 01:01:12
Suppose $R$ is a commutative unital ring. Are the following two concepts equivalent?

* Spec R is a noetherian topological space

* R is noetherian
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