Results 11 to 20 of about 317,331 (198)
Derived Kan extension for strict polynomial functors [PDF]
arXiv, 2011 We investigate fundamental properties of adjoint functors to the precomposition functor in the category of strict polynomial functors.
Marcin Chałupnik
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Derived Functors of Torsion [PDF]
Canadian 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
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The spectrum of derived Mackey functors [PDF]
Transactions of the American Mathematical Society, 2020 We compute the spectrum of the category of derived Mackey functors (in the sense of Kaledin) for all finite groups. We find that this space captures precisely the top and bottom layers (i.e. the height infinity and height zero parts) of the spectrum of the equivariant stable homotopy category. Due to this truncation of the chromatic information, we are
Irakli Patchkoria +2 more
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Derived Functors of Differential Operators [PDF]
International Mathematics Research Notices, 2017 Abstract In their work on differential operators in positive characteristic, Smith and Van den Bergh define and study the derived functors of differential operators; these arise naturally as obstructions to differential operators reducing to positive characteristic.
Jack Jeffries
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On derived categories and derived functors
, 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
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Derived functors and Hilbert polynomials [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2002 Let R be a commutative Noetherian ring, I an ideal, M and N finitely generated R-modules. Assume V(I) [xcap ] Supp (M) [xcap ] Supp (N) consists of finitely many maximal ideals and let λ(Exti(N/InN, M)) denote the length of Exti(N/InN, M). It is shown that λ(Exti(N/InN, M)) agrees with a polynomial in n for n [Gt ] 0, and an upper bound ...
Emanoil Theodorescu
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Moscow Mathematical Journal, 2008 For a finite group $G$, the so-called $G$-Mackey functors form an abelian category $M(G)$ that has many applications in the study of $G$-equivariant stable homotopy. One would expect that the derived category $D(M(G))$ would be similarly important as the "homological" counterpart of the $G$-equivariant stable homotopy category.
D. Kaledin
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Biset functors as module Mackey functors, and its relation to derivators [PDF]
arXiv, 2016 In this article, we will show that the category of biset functors can be regarded as a reflective monoidal subcategory of the category of Mackey functors on the 2-category of finite groupoids. This reflective subcategory is equivalent to the category of modules over the Burnside functor.
arxiv +5 more sources
The tensor product of functors; satellites; and derived functors
Journal of Algebra, 1968 Janet L Fisher
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