  The recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD)
have generalized the famous Woltjer-Taylor states by incorporating a collection
of "ideal barriers" that prevent global relaxation, and flow. In this paper, we
generalize MRxMHD with flow to include Hall effects (MRxHMHD), and thereby
obtain the partially relaxed counterparts of the famous double Beltrami states
as a special subset. The physical and mathematical consequences arising from
the introduction of the Hall term are also presented. We demonstrate that our
results (in the ideal MHD limit) constitute an important subset of ideal MHD
equilibria, and we compare our approach against other variational principles
proposed for deriving the partially relaxed states.
