Chiang Mai Journal of Science

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Let R be a ring and M, N be ring R-modules. M is called principally N-injective (P-N-injective) if every R-homomorphism from a cyclic submodule of N to Mcan be extended to N. A ring R is said to satisfy (*) if every simple right R-module is P-N-injective for anll cyclic some connections among V-rings, P-V-rings and regular rings are given.

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