In this paper we show that in an implicative algebra 

$\Cal A = (A;V, \Rightarrow)$ inherited from the poset 

$(A,\leq)$ with the greatest element $V$, every implicative filter in

$\Cal A$ is special.

Moreover, we show that the  homomorphic inverse image of an (special, resp.) 

implicative filter in implicative algebras is also an (special, resp.) 

implicative filter.