Corrections from PGB to the single-top-quark production at the Fermilab Tevatron in the technicolor models

We calculate one-loop PGB (pseudo-Goldstone bosons) corrections to the cros s section for the single-top-quark production via q (q) over bar' --> t (b) over bar at the Fermilab Tevatron in the MWTCM (multiscale walking technic olor model) and topcolor assisted MWTCM. The corrections from PGB in the to pcolor assisted MWTCM decrease the production cross section only a few perc ent, and the corrections from PGB in the MWTCM are found to exceed -10%, wh ich might be observable at a high-luminosity Tevatron.