rings of continuous functions

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rings of continuous functions
Ring theory question … Maybe question topology. (Not sure)?

Suppose P homomorphism: R -> S. I came across a posting on here talking about function. f *: Spec (R) -> Spec (S). a * f (p) means that f ^ (-1) (p) in this talk with his teacher said that as soon as this map. Continuously between Spec (R). And Spec (S) because we know that only a perfect image before key

Failure to comply "immediately". To A = Spec (R) B = Spec (S). The first thing you write the wrong map : A φ *: Spec (S) -> Spec (R). Now X_r = A – V (r) by at r ∈ R and V (r) = p (in particular | R r ∈ p). you like to φ. * ^ (-1) (X_r) = X_φ (r) from the R X_r basis for topoloy of Spec () and you will continue. Must have a picture before the opening will open. . Φ Now * ^ (-1) (X_r) = B – φ * ^ (-1) (V (r)) = B – / φ (* ^ (-1) (p |) r ∈ p. , p only ideal. R) = B – / (q key | φ * S (q) = p) = B – / (q key. S | φ ^ (-1) (q) = p) = B – / p φ () = X_φ (r) Steve.


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