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11 - Existence of Resolutions

Published online by Cambridge University Press:  15 November 2019

Amnon Yekutieli
Amnon Yekutieli
Affiliation:
Ben-Gurion University of the Negev, Israel
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Summary

In this chapter we prove existence of K-injective, K-projective and K-flat resolutions in the category of DG modules K(A, M), under certain conditions on the abelian category M and certain boundedness conditions. Our proofs are explicit and quite detailed.

Keywords

K-injective resolutionK-projective resolutionK-flat resolution
Type
Chapter
Information
Derived Categories , pp. 242 - 288
Publisher: Cambridge University Press
Print publication year: 2019

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  • Existence of Resolutions
  • Amnon Yekutieli, Ben-Gurion University of the Negev, Israel
  • Book: Derived Categories
  • Online publication: 15 November 2019
  • Chapter DOI: https://doi.org/10.1017/9781108292825.012
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  • Existence of Resolutions
  • Amnon Yekutieli, Ben-Gurion University of the Negev, Israel
  • Book: Derived Categories
  • Online publication: 15 November 2019
  • Chapter DOI: https://doi.org/10.1017/9781108292825.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Existence of Resolutions
  • Amnon Yekutieli, Ben-Gurion University of the Negev, Israel
  • Book: Derived Categories
  • Online publication: 15 November 2019
  • Chapter DOI: https://doi.org/10.1017/9781108292825.012
Available formats
×