论文信息 - ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL

ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL

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.

N. Kim | Jin Yong Kim

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