Charles Buck Theological Dictionary
A sect who adhered to the schism of Lucifer, bishop of Cagliara, in the fourth century, who was banished by the emperor Constantius, for having defended the Nicene doctrine concerning the three persons in the Godhead. It is said, also, that they believed the soul to be corporeal, and to be transmitted from the father to the children. The Luciferians were numerous in Gaul, Spain, Egypt, &c. The occasion of this schism was, that Lucifer would not allow any acts he had done to be abolished. There were but two Luciferian bishops, but a great number of priests and deacons. The Luciferians bore a great aversion to the Arians.
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Buck, Charles. Entry for 'Luciferians'. Charles Buck Theological Dictionary. https://www.studylight.org/dictionaries/eng/cbd/l/luciferians.html. 1802.