  We study reductions of the Volterra lattice corresponding to stationary
equations for the additional, noncommutative subalgebra of symmetries. It is
shown that, in the case of general position, such a reduction is equivalent to
the stationary equation for a sum of the scaling symmetry and the negative
flows, and is written as $(m+1)$-component difference equations of the
Painlev\'e type generalizing the dP$_1$ and dP$_{34}$ equations. For these
reductions, we present the isomonodromic Lax pairs and derive the B\"acklund
transformations which form the $\mathbb{Z}^m$ lattice.
