  S{\l}oci\'nski gave sufficient conditions for commuting isometries to have a
nice Wold-like decomposition. In this note we provide analogous results for
row-isometries satisfying certain commutation relations. Other than known
results for doubly-commuting row-isometries, we provide sufficient condtions
for a Wold decomposition based on the Lebesgue decomposition of the
row-isometries.
