ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL Kim, Jin-Yong; Kim, Nam-Kyun;
We investigate in this paper rings containing a finitely generated p-injective maximal left ideal. We show that if R is a semiprime ring containing a finitely generated p-injective maximal left ideal, then R is a left p-injective ring. Using this result we are able to give a new characterization of von Neumann regular rings with nonzero socle.
von Neumann regular rings;p-injective ideals;p.p.-rings;