Extension procedure for supermanifold
of superfields
, ghost number construction are considered. Classical and
-deformed generating (master) equations, existence theorems for their solutions are formulated in
,
. Analogous scheme is realized for BV similar generating equations. Master
... [Show full abstract] equations versions for GSQM and BV similar scheme are deformed in powers of superfields = , into supermanifold . Arbitrariness in a choice of solutions for these equations is described. Investigation of formal Hamiltonian systems for II class theories [2] defined via corresponding master equations solutions is conducted. Gauge fixing for those theories is described by two ways. Functional integral of superfunctions on is defined. Properties for generating functionals of Green's superfunctions are studied. -component quantization formulation, connection with BV method and superfield quantization [3] are established. Quantization scheme realization is demonstrated on 6 models.