# Cut cotorsion pairs

@article{Huerta2020CutCP, title={Cut cotorsion pairs}, author={M. Huerta and O. Mendoza and Marco A. P'erez}, journal={arXiv: Category Theory}, year={2020} }

We present the concept of cotorsion pairs cut along subcategories of an abelian category. This provides a generalization of complete cotorsion pairs, and represents a general framework to find approximations restricted to certain subcategories. We also exhibit some connections between cut cotorsion pairs and Auslander-Buchweitz approximation theory, by considering relative analogs for Frobenius pairs and Auslander-Buchweitz contexts. Several applications are given in the settings of relative… Expand

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