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http://dx.doi.org/10.4134/CKMS.2003.18.4.629

ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL  

Kim, Jin-Yong (Department of Mathematics and Institute of Natural Sciences Kyung Hee University)
Kim, Nam-Kyun (Division of General Education Hanbat National University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 629-633 More about this Journal
Abstract
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.
Keywords
von Neumann regular rings; p-injective ideals; p.p.-rings;
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