Let
G
be a connected reductive group over a nonarchimedean local field
F of residue
characteristic
p,
P be a parabolic
subgroup of
G, and
R be a commutative
ring. When
R is
artinian,
p is
nilpotent in
R, and
char(F)=p, we prove that the
ordinary part functor
OrdP
is exact on the category of admissible smooth
R-representations
of
G.
We derive some results on Yoneda extensions between admissible smooth
R-representations
of
G.