  In this paper we derive here, on the basis of the NS eqs. a set of fusion
rules for correlations of velocity differences when all the separation are in
the inertial interval. Using this we consider the standard hierarchy of
equations relating the $n$-th order correlations (originating from the viscous
term in the NS eq.) to $n+1$'th order (originating from the nonlinear term) and
demonstrate that for fully unfused correlations the viscous term is negligible.
Consequently the hierarchic chain is decoupled in the sense that the
correlations of $n+1$'th order satisfy a homogeneous equation that may exhibit
anomalous scaling solutions. Using the same hierarchy of eqs. when some
separations go to zero we derive a second set of fusion rules for correlations
with differences in the viscous range. The latter includes gradient fields. We
demonstrate that every n'th order correlation function of velocity differences
${\cal F}_n(\B.R_1,\B.R_2,\dots)$ exhibits its own cross-over length $\eta_{n}$
to dissipative behavior as a function of, say, $R_1$. This length depends on
$n$ {and on the remaining separations} $R_2,R_3,\dots$. When all these
separations are of the same order $R$ this length scales like $\eta_n(R)\sim
\eta (R/L)^{x_n}$ with $x_n=(\zeta_n-\zeta_{n+1}+\zeta_3-\zeta_2)/(2-\zeta_2)$,
with $\zeta_n$ being the scaling exponent of the $n$'th order structure
function. We derive a class of exact scaling relations bridging the exponents
of correlations of gradient fields to the exponents $\zeta_n$ of the $n$'th
order structure functions. One of these relations is the well known ``bridge
relation" for the scaling exponent of dissipation fluctuations $\mu=2-\zeta_6$.
