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- W2002851573 abstract "The Gabriel-Popescu Theorem states essentially that every Grothendieck category is (up to equivalence) of the form ( R ,σ)- mod , i.e., the quotient category of some left module category R - mod , by some Serre subcategory T σ associated to an idempotent kernel functor σ. It follows that every Grothendieck category is a Giraud suncategory of a left module category. In this paper, we study the relationship between derived functors in a Grothendieck category C and a Giraud subcategory D . With C = R - mod , the foregoing thus yields methods to study derived functors in arbitrary Grothendieck categories from knowledge about derived functors in R - mod ." @default.
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- W2002851573 date "1990-08-01" @default.
- W2002851573 modified "2023-09-26" @default.
- W2002851573 title "Relative derived functors" @default.
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- W2002851573 doi "https://doi.org/10.1016/0022-4049(90)90113-v" @default.
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