We describe here the general solution describing generators of cc-defo
rmed Poincare algebra as the functions of classical Poincare algebra g
enerators as well as the inverse formulas. Further we present analogou
s relations for the generators of N = 1, D = 4 kappa-deformed Poincare
superalgebra expressed by the classical Poincare superalgebra generat
ors. In such a way we obtain the a-deformed Poincare (super)algebras w
ith all the quantum deformation present only in the co-algebra sector.
As an application we use the classical basis of kappa-deformed Poinca
re superalgebra for obtaining a new result: the a-deformation of super
symmetric spin (Pauli-Lubanski) Casimir.