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Gradings and Derived Categories
Algebras and Representation Theory, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Green, Edward L., Happel, Dieter
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λ-pure derived categories of a Grothendieck category
Journal of Algebra and Its Applications, 2023Let [Formula: see text] be a Grothendieck category, [Formula: see text] an infinite regular cardinal. We investigate the [Formula: see text]-purity of [Formula: see text], and the [Formula: see text]-pure acyclic complexes in C([Formula: see text]). Using the [Formula: see text]-presentable objects, we verify that the class of [Formula: see text]-pure
Wang, Xi, Yao, Hailou, Shen, Lei
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Derived Categories View on Rationality Problems
, 2015We discuss a relation between the structure of derived categories of smooth projective varieties and their birational properties. We suggest a possible definition of a birational invariant, the derived category analogue of the intermediate Jacobian, and ...
A. Kuznetsov
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Derived Categories and Derived Functors
1996Homological algebra was founded by D. Hilbert. He considered, in particular, the following problem. Let Σ j=1 m a ij x j = 0, i =1,..., n, a ij ∈ k[t 1,..., t r ], be a system of linear homogeneous equations with coefficients lying in the polynomial ring over a field.
Sergei I. Gelfand, Yuri I. Manin
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Certain Categories Derived from Normal Categories
2015Normal categories are essentially the category of principal left(right) ideals of a regular semigroup which are used in describing the structure of regular semigroups. Several associated categories can be derived from normal categories which are of interest.
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Derived Categories and Derived Functors
2018This is an introduction to the language of derived categories and understanding the triangulated structure on the derived category. We also introduce the analogue of functors on a derived category, i.e. derived functors.
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Ladders and simplicity of derived module categories
Journal of Algebra, 2017Lidia Angeleri Hügel
exaly

