Categories and Functors
Preradical and kernel functors over categories of \(S\)−acts
... Introduction The paper is devoted to our own vision of ways of development of the theory of preradicals and hereditary preradicals, the latter we call kernel functors, as well as Goldman. However, more important ...
10
Scalar extensions of derived categories and non-Fourier-Mukai functors
... NON-FOURIER-MUKAI FUNCTORS ALICE RIZZARDO AND MICHEL VAN DEN BERGH ...derived categories of coherent sheaves on smooth projective varieties is a Fourier-Mukai ...include functors from perfect ...
35
CATEGORIES AND FUNCTORS
... Y is an additive category i f and only i f there exists a zero object in Y , if there exist finite coproducts in V and if each of the morphisms sets Mor,( A, B ) ca[r] ...
280
NOTES ON CATEGORIES AND FUNCTORS
... Abelian categories are the proper setting in which to ‘do homological ...abelian categories that are not equivalent to module categories, this is a real ...abelian categories (ask AB — he will ...
9
The 2-categorical analogue of the theory of polynomials and polynomial functors is given, and its relationship with Street’s theory of fibrations within 2-categories is explored
... By the uniqueness part of the universal property of the left distributivity pullback, it follows that h5 k8 = k1 , and so we have established the existence of maps r and s with the requi[r] ...
67
Functors on ∞- Categories and the Yoneda Embedding
... − categories of E ∞ − algebras over k , will be the obtained from the ordinary categories of commutative differential graded k − algebras by formally inverting the collection of ...medullar functors ...
6
Adjoint functors, preradicals and closure operators in module categories
... A. I. Kashu A b s t r ac t . In this article preradicals and closure opera- tors are studied in an adjoint situation, defined by two covariant functors between the module categories R-Mod and S-Mod. The ...
18
THE FERMAT FUNCTORS
... both categories Diff and • C ∞ are concrete sheaves over concrete sites S and F , ...between categories of concrete sheaves, we only need to find “good” functors between the two ...such ...
27
Constructing applicative functors
... on functors with a tensorial strength, but here we shall avoid such technicalities by assuming that function spaces are first-class types, with primitives to perform application and currying, or in categorical ...
26
Generalized derived functors
... concrete categories but there does not appear to be any accepted word to describe categories of based sets with ...derived functors requires that the functor under consideration should have range an ...
95
Separable functors in corings
... of functors between categories of comodules has been developed in this paper, making the arguments independent from the Sweedler’s ...adjoint functors (the induction functor and its adjoint, called ...
23
Polynomial functors and trees
... polynomial functors, poly- nomial monads and trees, keeping the analogy with graphs, categories and linear orders as close as ...[20]. Categories are first defined algebraically: they are algebras ...
55
On operads, bimodules and analytic functors
... CHAPTER 4 The bicategory of operad bimodules The aim of this chapter is to define the bicategory of operad bimodules, which we denote by OpdBim V . The first step to do this is to identify operads, operad bimodules and ...
110
Adjoint functors and tree duality
... tree obstructions that allow a homomorphism to a fixed directed path). In this context we also prove that the problem of existence of a complete set of obstructions consisting of trees with bounded algebraic height is ...
14
Realisation functors in tilting theory
... derived categories of abelian categories or, more generally, between recollements of derived ...triangulated categories and we study the properties of the associated ...abelian categories, ...
65
On equivalences for cohomological Mackey functors
... Mackey functors Markus Linckelmann Abstract By results of Rognerud, a source algebra equivalence between two p-blocks of finite groups induces an equivalence between the categories of cohomological Mackey ...
11
Duality functors for quantum groupoids
... Dipartimento di Matematica, Universit` a di Roma “Tor Vergata” via della ricerca scientifica 1 — I-00133 Roma, ITALY / e-mail: [email protected] Abstract We present a formal algebraic language to deal with quantum ...
47
3. Nearly representable functors
... of functors satisfying (RH) is not yet fully ...representable functors and slicewise nearly representable ...certain categories of triples (x, y, a) for x ∈ B, y ∈ C, and a ∈ L(x, ...
44
2. Nearly representable functors
... dimensional categories; applications of category theory to algebra, geometry and topology and other areas of mathematics; applications of category theory to computer science, physics and other mathematical ...
16
The dominant dimension of cohomological Mackey functors
... Proof of Theorem 1.1. The following argument from the proof of [6, Theorem 3.1] shows that we have add(M ⊗ B V ) = add(U ) and add(M ∗ ⊗ A U ) = add(V ). By the assumptions, we have add(M ⊗ B V ) ⊆ add(U). Thus add(M ∗ ⊗ ...
6