Two results on cardinal invariants at uncountable cardinals

We prove two ZFC theorems about cardinal invariants above the continuum which are in sharp contrast to well-known facts about these same invariants at the continuum. It is shown that for an uncountable regular cardinal $\kappa$, $\mathfrak{b}(\kappa )={\kappa }^{+}$ implies $\mathfrak{a}(\kappa) = {\kappa}^{+}$. This improves an earlier result of Blass, Hyttinen, and Zhang. It is also shown that if $\kappa \ge {\mathrm{\beth }}_{\omega }$ is an uncountable regular cardinal, then $\mathfrak{d}(\kappa )\le \mathfrak{r}(\kappa )$. This result partially dualizes an earlier theorem of the authors.