On H-separable extensions of primitive rings
A ring is called strongly primitive if it has a faithful minimal left ideal. In this paper, assuming that B is a strongly primitive ring with socle S and A an H-separable extension of B such that A is finitely generated and projective as left B-module, it is shown that A is strongly primitive if and only if \(ASA\cap B=S\).
scientific article; zbMATH DE number 4008592