In this paper we construct "structural" pre-braidings characterizing
different algebraic structures: a rack, an associative algebra, a Leibniz
algebra and their representations. Some of these pre-braidings seem original.
On the other hand, we propose a general homology theory for pre-braided vector
spaces and braided modules, based on the quantum co-shuffle comultiplication.
Applied to the structural pre-braidings above, it gives a generalization and a
unification of many known homology theories. All the constructions are
categorified, resulting in particular in their super- and co-versions. Loday's
hyper-boundaries, as well as certain homology operations are efficiently
treated using the "shuffle" tools
