UddeIM creates many doubles of pages:
/component/uddeim/?task=inbox=&Itemid=707
/component/uddeim/?task=inbox=&Itemid=0
/component/uddeim/?task=inbox

/component/uddeim/?task=outbox&Itemid=707
/component/uddeim/?task=outbox&Itemid=0
/component/uddeim/?task=outbox

/component/uddeim/?task=new&Itemid=707
/component/uddeim/?task=new&Itemid=0
/component/uddeim/?task=new

I would like will get rid in links from component and to give these references to a look:
/pm/inbox
/pm/outbox
/pm/new

But I noticed that the uddeIM menu is absent. For example, at installation of such K2 and CB components menu types are automatically created. And to uddeIM such menu isn't present and it is impossible to get rid of 'component' in exiles. Or there is other way to make it?

I do not understand your problem. uddeIM does not use any of the links above. When Joomla SEF (or a third party SEF) is not configured correctly these links may appear. Each menu link to uddeIM gets a new ItemId, so above is ok when you call uddeIM from different links. uddeIM itself uses the first link for internal usage.

What menu is not created? In uddeIM backend there is a menu link created to uddeIM automatically. For the frontend the admin has to decide where to create the link to uddeIM.

I made some screenshots on which it is visible that the uddeIM menu doesn't exist:





SEF at me is included:

uddeIM does not create a menu. Why should it do so? Nobody needs a complete menu for a single link?

I thought that the menu wasn't created only at me and because of it so many doubles:

/user/inbox/?task=inbox
/user/inbox/?task=inbox=item
/user/inbox/?task=inbox=item=5
/user/inbox/?task=inbox=item=item
/user/inbox/?task=inbox=item=item=item
/user/inbox/?task=inbox=item=5=item

/user/inbox/?task=outbox
/user/inbox/?task=outbox=item
/user/inbox/?task=outbox=item=5
/user/inbox/?task=outbox=item=item
/user/inbox/?task=outbox=item=item=item
/user/inbox/?task=outbox=item=5=item

,etc.

I closed these doubles by means of .htaccess since I don't know other decision.