  It is shown that the polarization of hyperons observed in high energy
collisions using unpolarized hadron beams and unpolarized nucleon or nuclear
targets is closely related to the left-right asymmetries observed in single
spin inclusive hadron production processes. The relationship is most obvious
for the production of the hyperons which have only one common valence quark
with the projectile. Examples of this kind are given. Further implications of
the existence of large polarization for hyperon which has two valence quarks in
common with the projectile and their consequences are discussed. A comparison
with the available data is made. Further tests are suggested.
