In Zoharistic Kabbalah, Agrat Bat Mahlat (אגרת בת מלת) is one of the four angels of sacred prostitution, who mates with archangel Samael. Her fellow succubi are Lilith, Naamah, and Eisheth Zenunim.
Considering Mahlat and Agrat as proper names and bat as "daughter of" (Hebrew), Agrat bat Mahlat means 'Agrat daughter of Mahlat'. Sometimes Agrat is used alone, or with variations (Agrath, Igrat, Iggeret). Iggeret means in Hebrew 'letter or missive' while 'agrah' means 'reward'. Mahathallah, probably the correct spelling of Mahlat means in Hebrew 'deception' or 'illusion'. Therefore, Agrat bat Mahlat could be translated as Agrat 'daughter of illusions', 'bringer of deception' or 'reward for deception.'
According to the Kabbalah and the school of Rashba, Agrat Bat Mahlat mated with King David and bore a cambion son Asmodeus, king of demons.[1]
The spiritual intervention of Hanina ben Dosa and Rabbi Abaye curbed her malevolent powers over humans.[2]
Some authors, such as Donald Tyson, refer to them as manifestations of Lilith. Agrat Bat Mahlat rules Salamanca (western quarter), Naamah rules Damascus (eastern quarter), while Lilith rules Rome (northern quarter). The southern quarter is controversial, since it is assigned to a country (Egypt) instead of to a city, and the name of the ruler is unclear, usually identified as Mahalat (the mother of Agrat?) or Rahab instead of Eisheth.
correction: Mahelet means disease in hebrew