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On Direct Projective H-Supplemented Modules

In this paper, we consider a direct projective H-supplemented module which is a generalization of a discrete module (cf. [11, 16]). We prove that any direct projective H-supplemented module satisfies the exchange property and also shows that if M1 and M2 are direct projective H-supplemented modules, then M = M1 ⊕ M2 is direct projective H-supplemented if and only if Mi is radical Mj-projective (i ≠ j).