We show that the t-J Hamiltonian is not in general reduced to Ht-J = H
((S) over right arrow,f), where (S) over right arrow and f stand for i
ndependent ([(S) over right arrow,f] = 0) SU(2) (spin) generators and
spinless fermionic (holon) fields, respectively. The proof is based up
on an identification of the Hubbard operators with the generators of t
he su(2\1) superalgebra in the degenerate fundamental representation a
nd ensuing SU(2\1) path-integral representation of the partition funct
ion Z(t-J).