ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL | Zendy

Jin Yong Kim | Zendy; Nam Kyun Kim | Zendy

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ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL

Author(s) -

Jin Yong Kim,

Nam Kyun Kim

Publication year - 2003

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2003.18.4.629

Subject(s) - mathematics , injective function , ideal (ethics) , semiprime , maximal ideal , finitely generated abelian group , characterization (materials science) , minimal ideal , von neumann regular ring , pure mathematics , ring (chemistry) , injective module , principal ideal ring , discrete mathematics , combinatorics , commutative ring , prime (order theory) , physics , philosophy , chemistry , organic chemistry , epistemology , commutative property , optics

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.

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