A deformation U(q)(P(n)) = P(q)(n) of the extended non-contragredient
(strange) superalgebra of P(n), denoted by P(n), is proposed. A realiz
ation of P(q)(n) in terms of q-bosons and q-fermions is presented. The
n a procedure to build up a set of representations of P(q)(n) is brief
ly discussed. As a by-product, a new realization of SU(q)(n) is obtain
ed.