Let R be a ring. For two fixed positive integers m and n, an R-module M is called (m, n)-quasi-injective if each R-homomorphism from an n-generated submodule of M to M extends to one from M to M . It is showed that MR is (m, n)-quasi-injective if and only if the right R-module M is principally quasi-injective. Many properties of (m, n)-injective rings and… (More)
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