  We show that quandle rings and their idempotents lead to proper enhancements
of the well-known quandle coloring invariant of links in the 3-space. We give
explicit examples to show that the new invariants are also stronger than the
$\Hom$ quandle invariant when the coloring quandles are medial. We provide
computer assisted computations of idempotents for all quandles of order less
than six, and also determine the ones for which the set of all idempotents is
itself a quandle. The data supports our conjecture about triviality of
idempotents of integral quandle rings of finite latin quandles. We also
determine Peirce spectra for complex quandle algebras of some small order
quandles.
