  It is developed the considerations from (S. M. Min\v{c}i\'c, [14, 15]) about
curvature tensors and pseudotensors for a non-symmetric affine connection space
in this paper. How many kinds of covariant derivatives are enough to be defined
for complete researching in the field of non-symmetric affine connection spaces
is examined here. This result is interpreted. After that, we searched how many
curvature tensors and pseudotensors of a non-symmetric affine connection space
are linearly independent. In the next, it is examined is it possible to express
all curvature tensors as the linear combinations of the pseudotensors. At the
end of this paper, we considered these results for possible applications in
physics.
