What is commonly known as חצי קדיש (half Kaddish)
is actually the complete Kaddish.
The Tefillah of Kaddish is to be Mekadesh Sheim
Shomyim.which ends at Da'amiron Beolmo.
Tiskabal,Yehai Shlomo & Oseh Sholom were added
on to the Kaddish, when ending, the Tefillah it should
be accepted, we should have peace with each
other, and if there is Ch"v Machlokes, Hashem should
help us make peace*
*Aruch Hashulchan O.Ch. 56:8.(I am not sure, why it is important to know)