Results 211 to 220 of about 82,482 (245)

Disaster Storylines and Knowledge Graphs from Global News with Large Language Models and Retrieval-Augmented Generation. [PDF]

open access: yesSci Data
Ronco M   +7 more
europepmc   +1 more source

Geospatial approaches for mapping zero-dose children in low- and lower-1 middle-income countries: A scoping review

open access: yes
Njogu AM   +19 more
europepmc   +1 more source
Some of the next articles are maybe not open access.

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Length of triangulated categories

Advances in Mathematics
We introduce the notion of composition series of triangulated categories, which generalizes full exceptional sequences. The lengths of composition series yield invariants for triangulated categories.
Yuki Hirano, Martin Kalck
exaly   +2 more sources

Generation time for biexact functors and Koszul objects in triangulated categories

open access: yesDocumenta Mathematica
This paper concerns the generation time that measures the number of cones necessary to obtain an object in a triangulated category from another object. This invariant is called level.
Janina C. Letz, Marc Stephan
semanticscholar   +4 more sources

Derived and Triangulated Categories

Lecture Notes in Mathematics, 2009
A category is said to be small if the classes of both its objects and its morphisms are sets. A category that is not small is said to be large. A category ℭ is locally small if for any pair of objects A and B of ℭ the class Homℭ(A,B) is a set. Many of the categories we will consider in this book (the categories of sets, groups, rings, modules over a ...
Joseph Lipman   +2 more
exaly   +3 more sources

Parametrizing recollement data for triangulated categories

open access: yesJournal of Algebra, 2009
We give a general parametrization of all the recollement data for a triangulated category with a set of generators. From this we deduce a characterization of when a ℵ0-perfectly generated (or aisled) triangulated category is a recollement of triangulated
Pedro Nicolas, Manuel Saorin
exaly   +2 more sources

Homologically finite-dimensional objects in triangulated categories

Selecta Mathematica, 2022
In this paper we investigate homologically finite-dimensional objects in the derived category of a given small dg-enhanced triangulated category. Using these we define reflexivity, hfd-closedness, and the Gorenstein property for triangulated categories ...
A. Kuznetsov, Evgeny Shinder
semanticscholar   +1 more source

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