There are some versions that have it with "Vikarev Mishichei" following the "Viyamlich Malchuse", and that seems to mean that the Kaddish is a prayer for Moshiach(?)
myJewishLearning.com it has without the Moshiach part, as follows:
יִתְגַּדַּל וְיִתְקַדַּשׁ שְׁמֵהּ רַבָּא. בְּעָלְמָא דִּי בְרָא כִרְעוּתֵהּ וְיַמְלִיךְ מַלְכוּתֵהּ בְּחַיֵּיכון וּבְיומֵיכון וּבְחַיֵּי דְכָל בֵּית יִשרָאֵל בַּעֲגָלָא וּבִזְמַן קָרִיב, וְאִמְרוּ אָמֵן
Translation: May He establish His kingdom in your lifetime and during your days, and within the life of the entire House of Israel, speedily and soon; and say, Amen.
What is this kingdom that we are asking for to be established?