Be'almah di'vra kirutei
uvchayei dechol beit
yisrael, bagalah uvisman
kariv veimru amen.
Yeheh shmeh rabah
mevorach leolam ulolmei
Le'eilah min kol birchata
bealmah veimru amen.
Yeheh shlama raba min
shemaya vechayim aleinu
ve'al kol yisrael veimru
Oseh shalom bimromav,
hu ya'aseh shalom aleinu
veal kol yisrael, vimru
בְּעָלְמָא דִי בְרָא כִּרְעוּתֵהּ
וּבְחַיֵי דְּכָל בֵּית
יִשְׂרָאֵל, בַּעֲגַלָא וּבִזְמַן
קָרִיב וְאִמְרוּ אָמֵן.
יְהֵא שְׁמֵהּ רַבָּא
מְבָרַךְ לְעָלַם וּלְעָלְמֵי
לְעֵילָא (וּלְעֵילָא) מִן כָּל בִּרְכָתָא
בְּעָלְמָא וְאִמְרוּ אַמֵן.
יְהֵא שְׁלָמָא רַבָּא מִן
שְׁמַיָא וְחַיִּים עָלֵינוּ
וְעַל כָּל יִשְׂרָאֵל וְאִמְרוּ
עוֹשֶׂה (ה)שָׁלוֹם בִּמְרוֹמָיו
הוּא יַעֲשֶׂה שָׁלוֹם עָלֵינוּ
וְעַל כָּל יִשְׂרָאֵל, וְאִמְרוּ
Magnified and sanctified be his great name.
In the world which he hath created according to his will, may he establish his kingdom.
During your life and during your days, and during the life of all the house of Israel, even speedily and at a near time, and say ye, Amen.
Let his great name be blessed for ever and to all eternity.
Blessed, praised and glorified, exalted, extolled and honored, magnified and lauded be the name of the Holy One, blessed be he.
Though he be high above all the blessings and hymns, praises and consolations, which are uttered in the world; and say ye, Amen.
May there be abundant peace from heaven, and life for us and for all Israel; and say ye, Amen.
He who maketh peace in his high places, may he make peace for us and for all Israel; and say ye, Amen.
Translation from The Standard Prayer book by Simeon Singer (1915) (public domain)
Connects between 2 different prayers.
The song is prasing Hashem and is requesting to attach the prayers we did with a minyan with good intentions, to bring the final redemption closer.
Also, when a person has lived his entire life, we ask Hashem to incorporate the individual's story into the "big story." Therefore, kaddish is incorporated in the burial ceromony.
The demands are so special that the language used is Aramaic and not Hebrew. The angles understand Hebrew, but not Aramaic (Sotah 33a), so when we use Aramaic, we are speaking directly to Hashem.