In this note we discuss the relation between strong

ideals and p-ideals. The following results are proved:

(1) An ideal $I$ of a BCI-algebra $X$ is strong if and

only if $I$ is a closed p-ideals; (2) In a periodic

BCI-algebra, an ideal is strong if and only if it is

a p-ideal; (3) If $I$ is a strong ideal of a BCI-algebra

$X$ then the quotient algebra $(X/I; *, I)$ is a

p-semisimple BCI-algebra. Also some of other characterizations of

strong ideals are given.