Results 231 to 240 of about 1,625,403 (282)
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TTF Triples in Functor Categories
Applied Categorical Structures, 2009We characterize the hereditary torsion pairs of finite type in the functor category of a ring R that are associated to tilting torsion pairs in the category of R-modules. Moreover, we determine a condition under which they give rise to TTF triples.
ANGELERI HUEGEL L, BAZZONI, SILVANA
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ON THE DERIVED CATEGORY AND K-FUNCTOR OF COHERENT SHEAVES ON INTERSECTIONS OF QUADRICS
, 1989A graded Clifford algebra connected with the complete intersection of several quadrics is considered. In terms of modules over this algebra, a description is given of the derived category of coherent sheaves and the Quillen K-functor of the intersection ...
M. Kapranov
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1974
This monograph concerns certain categories ℂ equipped with a full subcategory °ℂ with “small” or “finitely generated” objects. Both of these categories are entirely concrete. In particular the objects A, B, ℭ, ... are sets and the morphisms p, q, r, ... are maps.
J. N. Crossley, Anil Nerode
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This monograph concerns certain categories ℂ equipped with a full subcategory °ℂ with “small” or “finitely generated” objects. Both of these categories are entirely concrete. In particular the objects A, B, ℭ, ... are sets and the morphisms p, q, r, ... are maps.
J. N. Crossley, Anil Nerode
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1994
Many constructions on various mathematical objects depend not just on the elements of those objects but also on the morphisms between them. Such constructions can thus be effectively formulated in the corresponding category of objects. A “topos” is a category in which a number of the most basic such constructions (product, pullback, exponential ...
Ieke Moerdijk, Saunders Mac Lane
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Many constructions on various mathematical objects depend not just on the elements of those objects but also on the morphisms between them. Such constructions can thus be effectively formulated in the corresponding category of objects. A “topos” is a category in which a number of the most basic such constructions (product, pullback, exponential ...
Ieke Moerdijk, Saunders Mac Lane
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Torsion Pairs in Categories of Modules over a Preadditive Category
Bulletin of the Iranian Mathematical Society, 2019It is a result of Gabriel that hereditary torsion pairs in categories of modules are in bijection with certain filters of ideals of the base ring, called Gabriel filters or Gabriel topologies.
C. Parra, Manuel Saor'in, Simone Virili
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Behavioral Metrics via Functor Lifting
Foundations of Software Technology and Theoretical Computer Science, 2014We study behavioral metrics in an abstract coalgebraic setting. Given a coalgebra alpha: X -> FX in Set, where the functor F specifies the branching type, we define a framework for deriving pseudometrics on X which measure the behavioral distance of ...
Paolo Baldan +3 more
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2017
A category \(\mathcal{C}\) is formed by a class of objects \(\mathop{\mathrm{Ob}}\nolimits \mathcal{C}\) and a class of disjoint sets \(\mathop{\mathrm{Hom}}\nolimits (X,Y ) =\mathop{ \mathrm{Hom}}\nolimits _{\mathcal{C}}(X,Y )\), one set for each ordered pair of objects \(X,Y \in \mathop{\mathrm{Ob}}\nolimits \mathcal{C}\).
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A category \(\mathcal{C}\) is formed by a class of objects \(\mathop{\mathrm{Ob}}\nolimits \mathcal{C}\) and a class of disjoint sets \(\mathop{\mathrm{Hom}}\nolimits (X,Y ) =\mathop{ \mathrm{Hom}}\nolimits _{\mathcal{C}}(X,Y )\), one set for each ordered pair of objects \(X,Y \in \mathop{\mathrm{Ob}}\nolimits \mathcal{C}\).
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An example of a non-Fourier–Mukai functor between derived categories of coherent sheaves
Inventiones Mathematicae, 2014Orlov’s famous representability theorem asserts that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is a Fourier–Mukai functor.
Alice Rizzardo, M. Bergh, A. Neeman
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2012
In this first chapter of Part 2 we give a general, rapid introduction to the required language from category theory.
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In this first chapter of Part 2 we give a general, rapid introduction to the required language from category theory.
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Derived categories and functors [PDF]
, 1971 For each abelian category A, there is a category D(A), called the derived category of A, whose objects are complexes of objects of A, and whose morphisms are formal fractions of homotopy classes of complex morphisms having as denominators homotopy classes inducing isomorphisms in cohomology. If F : A →B is an additive functor between abelian categories,
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