Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42520161001$\mathcal{X}$-injective and $\mathcal{X}$-projective complexes12211235876ENT.ÖzenDepartment of Mathematics, Abant Izzet Baysal University, Gölköy Kampüsü Bolu, Turkey.E.YıldırımDepartment of Mathematics, Abant Izzet Baysal University, Gölköy Kampüsü Bolu, Turkey.Journal Article20141112Let $\mathcal{X}$ be a class of $R$-modules. In this paper, we investigate \;$\mathcal{X}$-injective (projective) and DG-$\mathcal{X}$-injective (projective) complexes which are generalizations of injective (projective) and DG-injective (projective) complexes. We prove that some known results can be extended to the class of \;$\mathcal{X}$-injective (projective) and DG-$\mathcal{X}$-injective (projective) complexes for this general settings.http://bims.iranjournals.ir/article_876_bcc953321d1ed4f3a9c517d160fe4c40.pdf