Results 11 to 20 of about 2,236,547 (280)
Derived category of weak chain U-complexes [PDF]
HeliyonIn this paper, we define the derived category of weak chain U-complexes, and we give a characterization of any weak chain U-complex as an object in the right bounded homotopy category of weak chain U-complexes of projective modules.
Fajar Yuliawan +3 more
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The derived category with respect to a generator
Annali Di Matematica Pura Ed Applicata, 2014 Consider a Grothendieck category $\mathcal{G}$ along with a choice of generator $G$, or equivalently a generating set $\{G_i\}$. We introduce the derived category $\mathcal{D}(G)$, which kills all $G$-acyclic complexes, by putting a suitable model ...
Gillespie, James
exaly +3 more sources
Derived Equivalences of Actions of a Category [PDF]
Applied Categorical Structures, 2012 23 pages, ver 2: A construction of oplax functors using a comonad is added by generalizing a tiny example that should be corrected either by putting a relation\beta'\alpha'= \id_{x'} on X(2) or changing the definition of X(a) to "X(a)(z):= y' for z=x,y and X(a)(\gamma):= \id_{y'} for \gamma = \id_x, \id_y, \alpha, \beta" in Section 2.
Hideto Asashiba
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Under the Umbrella: Goal-Derived Category Construction and Product Category Nesting [PDF]
Administrative Science Quarterly, 2021 Johnny Boghossian, Robert David
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Derived categories of NDG categories [PDF]
Journal of Homotopy and Related Structures, 2021 We study $N$-differential graded ($NDG$) categories and their the derived categories. First, we introduce $N$-differential modules over an $NDG$ category $\mathcal{A}$. Then we show that the category $\mathsf{C}_{Ndg}(\mathcal{A})$ of $N$-differential $\mathcal{A}$-modules is a Frobenius category, and that its homotopy category $\mathsf{K}_{Ndg ...
Miyachi, Jun-ichi, Nagase, Hiroshi
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Duality for powerset coalgebras [PDF]
Logical Methods in Computer Science, 2022 Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-homomorphisms. We show that the forgetful functor from CABA to CSL has a left
Guram Bezhanishvili +2 more
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Viriforms—A New Category of Classifiable Virus-Derived Genetic Elements
Biomolecules, 2023 The International Committee on Taxonomy of Viruses (ICTV) recently accepted viriforms as a new polyphyletic category of classifiable virus-derived genetic elements, juxtaposed to the polyphyletic virus, viroid, and satellite nucleic acid categories ...
Jens H. Kuhn, Eugene V. Koonin
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The Image of the Derived Category in the Cluster Category [PDF]
International Mathematics Research Notices, 2012 Cluster categories of hereditary algebras have been introduced as orbit categories of their derived categories. Keller has pointed out that for non-hereditary algebras orbit categories need not be triangulated, and he introduced the notion of triangulated hull to overcome this problem.
Amiot, Claire, Oppermann, Steffen
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On Relative Derived Categories [PDF]
Communications in Algebra, 2016 To appear in Communications in ...
Asadollahi, J. +3 more
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Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Forum of Mathematics, Sigma, 2023 We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree.
Kyoung-Seog Lee, Han-Bom Moon
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