===== Preimero  =====


sfjhf
sadfjlksdf
lksdjfl
saldkfjlsd

  * item
  * item2 

[[ jdjdjd  |  kdkdkdk  ]]


{{:apple-icon-76x76.png?400|}}

In this paper, we first study the relations between semiprime ideals and ideals of the ideal lattice of posets. Moreover, we study the relation between prime ideals of a poset P and prime ideals of the set Id(P) of all ideals of P. We extend separation theorem for semiprime to a finite up directed poset with some constraint on the filter and for prime ideals to the case of finite poset. Then we prove the prime separation theorem for finite posets P for which Id(P) is distributive.