Triangulated Endofunctors of the Derived Category of Coherent Sheaves Which Do Not Admit DG Liftings
Sign Up to like & getrecommendations! Published in 2019 at "Arnold Mathematical Journal"
DOI: 10.1007/s40598-019-00114-x
Abstract: In, Rizzardo and Van den Bergh (An example of a non-Fourier–Mukai functor between derived categories of coherent sheaves. arXiv:1410.4039, 2014) constructed an example of a triangulated functor between the derived categories of coherent sheaves on… read more here.
Keywords: coherent sheaves; derived categories; triangulated endofunctors; functor ... See more keywords
Modular operads and the nerve theorem
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DOI: 10.1016/j.aim.2020.107206
Abstract: Abstract We describe a category of undirected graphs which comes equipped with a faithful functor into the category of (colored) modular operads. The associated singular functor from modular operads to presheaves is fully faithful, and… read more here.
Keywords: nerve theorem; category; modular operads; operads nerve ... See more keywords
Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor
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DOI: 10.1016/j.jalgebra.2019.11.016
Abstract: Abstract The formalism of injective stabilization of additive functors is used to define a new notion of the torsion submodule of a module. It applies to arbitrary modules over arbitrary rings. For arbitrary modules over… read more here.
Keywords: torsion; module; gruson jensen; auslander gruson ... See more keywords
Unbounded derived categories of small and big modules: Is the natural functor fully faithful?
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106722
Abstract: Abstract Consider the obvious functor from the unbounded derived category of all finitely generated modules over a left noetherian ring R to the unbounded derived category of all modules. We answer the natural question whether… read more here.
Keywords: categories small; small big; unbounded derived; derived categories ... See more keywords
Eilenberg-Watts calculus for finite categories and a bimodule Radford ????⁴ theorem
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DOI: 10.1090/tran/7838
Abstract: We obtain Morita invariant versions of Eilenberg-Watts type theorems, relating Deligne products of finite linear categories to categories of left exact as well as of right exact functors. This makes it possible to switch between… read more here.
Keywords: eilenberg watts; radford theorem; left exact; functor ... See more keywords
On the definition and K-theory realization of a modular functor
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DOI: 10.1142/s0129055x18500083
Abstract: We present a definition of a (super)-modular functor which includes certain interesting cases that previous definitions do not allow. We also introduce a notion of topological twisting of a modular functor, and construct formally a… read more here.
Keywords: definition theory; modular functor; theory realization; functor ... See more keywords
Predicting second language listening functor comprehension probability with usage-based and embodiment approaches
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DOI: 10.1177/13670069211000851
Abstract: Aims and Objectives: Embodiment is a major paradigm of first language (L1) research but has not yet been widely adopted in second language (L2) research. The main objective of this research was to find evidence… read more here.
Keywords: probability; frequency; functor; language ... See more keywords