  This extends a theorem of Davenport and Erd\"os on sequences of rational
integers to sequences of integral ideals in arbitrary number fields $K$. More
precisely, we introduce a logarithmic density for sets of integral ideals in
$K$ and provide a formula for the logarithmic density of the set of so-called
$\mathscr A$-free ideals, i.e. integral ideals that are not multiples of any
ideal from a fixed set $\mathscr A$.
