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9 - DG and Triangulated Bifunctors

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

This chapter is devoted to DG and triangulated bifunctors. We prove that a DG bifunctor between categories of DG modules induces a triangulated bifunctor on the homotopy categories. Then we define left and right derived bifunctors, and prove their uniqueness and existence, under suitable conditions. Bifunctors that are contravariant in one or two of the arguments are also studied.

Keywords

DG bifunctortriangulated bifunctorderived bifunctor
Type
Chapter
Information
Derived Categories , pp. 216 - 229
Publisher: Cambridge University Press
Print publication year: 2019

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