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Let R be a ring and M a right R-module with S = End(M R). The module M is called almost principally quasi-injective (or APQ-injective for short) if, for any m ∈ M, there exists an S-submodule X m of M such that l M r R (m) = Sm X m. The module M is called almost quasiprincipally injective (or AQP-injective for short) if, for any s ∈ S, there exists a left… (More)

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