  The cross section for deep inelastic lepton-nucleon scattering with arbitrary
polarized scattering fermions is calculated within the electroweak Standard
Model and non-minimal gauge models with additional neutral boson. The
Lorentz-invariant formulas for cross section and all types of electroweak
asymmetries, polarized, charge-polarized, charged, including the first-order
electroweak radiative correction are obtained. We present a detailed numerical
discussion of the radiative corrections to different kinds of electroweak
asymmetries. The difference in the results obtained in frame of minimal and
nonminimal gauge models increases significantly with the energy of incident
leptons and reaches the maximum value for the largest values of scaling
variable $y$, where radiative corrections is important object for precision
analysis of experimental data.
