query: Morphisms $X\to\text{Spec }A$ are in natural bijection with ring morphisms $A\to\Gamma(X,\mathscr O_X)$.
positive_passages.docid: 152212
positive_passages.text: Prove that the natural map $\alpha : \text{Hom}(X,\text{Spec} A) \rightarrow \text{Hom}(A,\Gamma(X,\mathcal{O}_X))$ is an isomorphism
negative_passages.docid: 106550
negative_passages.text: The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
negative_passages.docid: 106629
negative_passages.text: Trace map from finite surjective morphism of normal irreducible varieties
negative_passages.docid: 103491
negative_passages.text: If $A$ is a semilocal ring and $f:A\rightarrow B$ is a surjective homomorphism, then $f(\operatorname{rad}A)=\operatorname{rad}B$
negative_passages.docid: 140557
negative_passages.text: Counting ring homomorphisms from $\mathbb{Z}[x,y]/(x^3+y^2-1)$ to $\mathbb{Z_7}$
negative_passages.docid: 97608
negative_passages.text: Showing a Ring of endomorphisms is isomorphic to a Ring
negative_passages.docid: 140503
negative_passages.text: What properties do natural isomorphisms between functors preserve?
negative_passages.docid: 137011
negative_passages.text: showing $\psi: R\to \mathbb C$ is ring isomorphism.
negative_passages.docid: 137907
negative_passages.text: Composing functors with natural transformations
negative_passages.docid: 99671
negative_passages.text: Are surjective sheaf morphisms locally surjective?
negative_passages.docid: 14322
negative_passages.text: Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
negative_passages.docid: 64866
negative_passages.text: Proving a Composition of Functions is Bijective
negative_passages.docid: 118898
negative_passages.text: Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
negative_passages.docid: 129858
negative_passages.text: "Almost" ring homomorphism
negative_passages.docid: 151993
negative_passages.text: Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
negative_passages.docid: 29231
negative_passages.text: Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
negative_passages.docid: 150986
negative_passages.text: For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$