abstract-algebra The following is a very old (very easy) question, that was immediately answered in the comments. However, I would like to have an answer that includes the scheme-theory comment, which makes this more difficult: #12821
@JulianKuelshammer Answer posted. Maybe could do with a proper reference of the equivalence of left-exactness and "sends limits to colimits", but I'm not into additive/Abelian/whatever categories, so I don't know one.