Amoraim are Torah sages who lived between the completion of the Mishnah and the completion of the Talmud. Their writings analyze the Mishnah, draw on the opinions of the Tanatic schools, and comprise the majority of the Talmud. The word "amoray" is of Aramaic origin and means "interpreter" of the Torah. The word "amora" also means "translator." This was the name given to someone who, in the presence of students or a large crowd, loudly repeated and explained, translating from Hebrew into Aramaic, the words of a sage who was teaching a lesson or giving a speech while standing next to him. The sages themselves, out of modesty, chose and introduced this title of "translator."
There are the Babylonian Talmud and the Jerusalem Talmud. The Babylonian Talmud is so called for two reasons:
It was created in Babylonia.
The numerical value (gematria) of the words "Talmud Bavli" (Babylonian Talmud in Hebrew) is 524, which corresponds to the number of chapters of the Mishnayot that the Babylonian Talmud explains.
The Babylonian Talmud was finally edited by Amoraim Ravina, Rav Ashi, Mar bar Rav Ashi, and their students (500). The Jerusalem Talmud was compiled and organized primarily by Rabbi Yochanan ben Napaha (250-290).