-1
$\begingroup$

Suppose to have $\phi$ a ring morphsim from $A$ to $B$, let $X=SpecA$ , $Y=SpecB$ and $\psi$ the induced morphism of affine schemes. It's true that if $\psi$ dominant than $\phi$ is injective?

Improve this question
$\endgroup$
0

1 Answer 1

Reset to default
0
$\begingroup$

No, but yes for reduced rings. It may help to do exercise II.3.11 in Hartshorne.

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .