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prime spectrum (Definition)
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"prime spectrum" is owned by CWoo. [ full author list (2) | owner history (1) ]
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See Also: scheme, sheaf, Zariski topology, locally ringed space

Also defines:  distinguished open set

Attachments:
proof that $\operatorname{Spec}(R)$ is quasi-compact (Proof) by Wkbj79
$V(I)=\emptyset$ implies $I=R$ (Theorem) by Wkbj79
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Cross-references: Hilbert's Nullstellensatz, noncommutative, multiplicative identity, contains, commutative, spectrum, references, theory, algebraically closed, valid, Bezout's theorem, schemes, minor, objects, structure sheaf, equate, order, image, bijection, homeomorphism, function, embedding, vector space, field, morphisms of schemes, equivalence, complete, equivalence of categories, coordinate, affine varieties, affine scheme, isomorphic, locally ringed space, stalk, sheaf, projection map, map, restriction, rings, presheaf, inclusion map, contained, induced, homeomorphic, localization, prime ideal, closed set, irreducible, Hausdorff, compact, properties, topological space, basis, element, open set, maximal ideal, closed, point, section, algebraic, Zariski topology, equations, complement, open, closed subsets, collection, topology, radical, even, ideal generated by, ideals, variety, subset, identity, commutative ring
There are 16 references to this entry.

This is version 13 of prime spectrum, born on 2002-05-09, modified 2008-12-30.
Object id is 2898, canonical name is PrimeSpectrum.
Accessed 9716 times total.

Classification:
AMS MSC14A15 (Algebraic geometry :: Foundations :: Schemes and morphisms)

Pending Errata and Addenda
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