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projective dimension of complexes

Proceedings of the Edinburgh Mathematical Society (1)

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Cotorsion pairs and model structures on Ch(R)
Part of
- Homological algebra
- Commutative algebra: Homological methods
Gang Yang, Zhongkui Liu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 3 / October 2011

Published online by Cambridge University Press:

17 August 2011, pp. 783-797
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We show that if the given cotorsion pair 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 projective model structure.