Probably this is not a suitable question for this forum but I am stuck reading a paper in French and I cannot understand how "relever" is used in the following part of a theorem: We have that $f:A\mapsto B$ is an injective homomorphism.
$(i)$ Il existe un ideal maximal $\mathfrak{m}$ de $A$ tel que pour tout ideal premier $\mathfrak{p}$ de $A$, distincte de $\mathfrak{m}$, $A_{\mathfrak{p}}\mapsto B_{\mathfrak{p}}$ soit un isomorphisme.
$(ii)$ L'ideal maximal $\mathfrak{m}$ defini en $(i)$, se releve a $B$.
Can anyone help me explaining what that means?
"The maximal ideal $m$ defined in (i), transfers [along $f:A\to B$] to $B$."
[It's a bit of a guess though (the last part of the sentence that is) since the context is missing. If you post a few more lines prior to that one, it will be easier to translate with more certainty.] * should be ok now *
Probably the exact meaning of that sentence is that the image $f(m)$ is an ideal in $B$.