  Let $R$ be a commutative ring with identity, $S$ a multiplicative subset of
$R$ and $I$ an ideal of $R$ disjoint from $S$. In this paper, we introduce the
notion of an $S$-$n$-absorbing ideal which is a generalization of both the
$S$-prime ideals and $n$-absorbing ideals. Moreover, we investigate the basic
properties, quotient extension, existence and amalgamation of $S$-$n$-absorbing
ideals.
