  We report exact analytical expressions relating the fundamental parameters
describing the neutralino sector in the context of the left-right
supersymmetric model. The method used for such a effects is the projector
formalism deduced without take into account the Jarlskog's projector formulae.
Also, expressions for the neutralino masses and the neutralino mixing matrix
are determined . The results are compared with numerical and analytical ones
obtained in similar scenarios in the context of the minimal supersymmetric
standard model.
