  A homogeneous mass-fragmentation, as it has been defined in \cite{RFC},
describes the evolution of the collection of masses of fragments of an object
which breaks down into pieces as time passes. Here, we show that this model can
be enriched by considering also the types of the fragments, where a type may
represent, for instance, a geometrical shape, and can take finitely many
values. In this setting, the dynamics of a randomly tagged fragment play a
crucial role in the analysis of the fragmentation. They are determined by a
Markov additive process whose distribution depends explicitly on the
characteristics of the fragmentation. As applications, we make explicit the
connexion with multitype branching random walks, and obtain multitype analogs
of the pathwise central limit theorem and large deviation estimates for the
empirical distribution of fragments.
