Talk:Spectrum of a ring

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I removed the following example:

A special but quite typical case of an affine scheme is obtained as follows. Take a field K and n variables, x₁,...,x_n. Given m polynomials, p₁,...,p_m in these variables over K, there is a functor F from the category of commutative K-algebras to sets characterized by F(A)={(x₁,...,x_n) in Aⁿ|p₁=...=p_m=0}. Then F is represented by Spec(B) where B is the quotient of K[x₁,...,x_n] by the ideal I generated by the p_j.

Reasons:

• This uses functors, but the article hasn't mentioned the functor connection yet.
• The technical term "represented" is not explained. The functor F is not represented by Spec(B), but by B.
• A more useful example would describe Spec(B) in detail.

AxelBoldt 16:07, 18 Jan 2004 (UTC)

IMO, this article contains too much general rubbish. Just focus on the connections to geometry. Schemes are a generalisation of this setting and reside in a seperate article. agrosquid

[edit] External link

See the relevant manual of style entry: External link vs. External links. It is permissible (and arguably more correct) to leave off plural in the case of a single link. - Gauge 06:59, 25 February 2006 (UTC)