Cotorsion pairs and model structures on Ch(<i>R</i>)
Cotorsion pairs and model structures on Ch(<i>R</i>)
Abstract We show that if the given cotorsion pair $(\mathcal{A},\mathcal{B})$ in the category of modules is complete and hereditary, then both of the induced cotorsion pairs in the category of complexes are complete. We also give a cofibrantly generated model structure that can be regarded as a generalization of the …