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In 2010, Sanh et al. introduced a class of pseudo-M-gp-injective modules, following this, a right R-module N is called pseudo-M-gp-injective if for any homomorphism 0= α∈ End (M), there exists n∈ N such that αn= 0 and every monomorphism from αn (M) to N can be extended to a homomorphism from M to N. In this paper, we give more properties of pseudo-gp-injective modules.