\(\mathcal X\)-injective and \(\mathcal X\)-projective complexes

zbMATH Open1373.18013arXiv1303.0524MaRDI QIDQ2412143

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Publication date: 25 October 2017

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Abstract: Let $mathcalX$ be a class of $R$-modules. In this paper, we investigate ;$mathcalX$-(f.g.)injective ((f.g.)projective) and DG-$mathcalX$-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 ;$mathcalX$-(f.g.)injective ((f.g.)projective) and DG-$mathcalX$-injective (projective) complexes for this general settings.

Full work available at URL: https://arxiv.org/abs/1303.0524

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