  We obtain a criterion for the quasi-regularity of generalized (non-sectorial)
Dirichlet forms, which extends the result of P.J. Fitzsimmons on the
quasi-regularity of (sectorial) semi-Dirichlet forms. Given the right (Markov)
process associated to a semi-Dirichlet form, we present sufficient conditions
for a second right process to be a standard one, having the same state space.
The above mentioned quasi-regularity criterion is then an application. The
conditions are expressed in terms of the associated capacities, nests of
compacts, polar sets, and quasi-continuity. A second application is on the
quasi-regularity of the generalized Dirichlet forms obtained by perturbing a
semi-Dirichlet form with kernels .
