Item Type Can add behvior

Hi, 

In the ItemType Program, tab 'Can Add', i have the Identity 'Projects management'

The Identity Project management has 2 members  (World and Innovator Admin) :

The problem :  I can't add Program (even with the login Admin) : 

 Don't understant why ! Can somebody explain to me

Thanks in advance.

Nota : If i add the identity World directly to Can Add of Itemtype Program, I can add Pogram