Results 11 to 20 of about 4,385,745 (186)

So, what is a derived functor? [PDF]

open access: yesHomology, Homotopy and Applications, 2018
In the context of infinity categories, we rethink the notion of derived functor in terms of correspondences. This is especially convenient for the description of a passage from an adjoint pair (F,G) of functors to a derived adjoint pair (LF,RG).
V. Hinich
semanticscholar   +4 more sources

Singular homology as a derived functor [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1972
George S. Rinehart
semanticscholar   +4 more sources

Group derived functors

open access: bronzeJournal of Algebra, 1968
John L. MacDonald
openalex   +3 more sources

Derived functors of nonadditive functors and homotopy theory [PDF]

open access: bronzeAlgebraic & Geometric Topology, 2011
The text has been corrected and augmented.
Lawrence Breen, Roman Mikhailov
openalex   +6 more sources

Gorenstein derived functors [PDF]

open access: bronzeProceedings of the American Mathematical Society, 2004
Over any associative ring R R it is standard to derive H o m R ( − , − ) \mathrm {Hom}_R(-,-) using projective resolutions in the first variable, or injective resolutions in the second variable, and doing this ...
Henrik Holm
openalex   +4 more sources

On derived categories and derived functors

open access: green, 2007
For an abelian category, a category equivalent to its derived category is constructed by means of specific projective (injective) multicomplexes, the so-called homological resolutions.
Samson Saneblidze
openalex   +5 more sources

Derived Functors of Torsion [PDF]

open access: bronzeCanadian Mathematical Bulletin, 1976
AbstractIn this note we compute the derived functors of “torsion submodule” using a certain duality result for semi-exact functors on an abelian category of finite global dimension.
Howard L. Hiller
openalex   +3 more sources

Homological Bondal-Orlov localization conjecture for rational singularities

open access: yesForum of Mathematics, Sigma, 2023
Given a resolution of rational singularities $\pi \colon {\tilde {X}} \to X$ over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor ${\mathbf {R}}\pi _*\colon {\mathbf {D}}^{\mathrm {b}}({\
Mirko Mauri, Evgeny Shinder
doaj   +1 more source

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