Results 91 to 100 of about 69,891 (229)
Journal of Pure and Applied Algebra, 2011 Let $G= {\rm Spec} A$ be an affine $R$-monoid scheme. We prove that the category of dual functors (over the category of commutative $R$-algebras) of $G$-modules is equivalent to the category of dual functors of ${\mathcal A}^*$-modules. We prove that $G$ is invariant exact if and only if $A^*= R \times B^*$ as $R$-algebras and the first projection $A^*
Pedro Sancho +2 more
openaire +3 more sources
Underlying functors on fibered manifolds
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 For a product preserving bundle functor on the category of fibered manifolds we describe subordinated functors and we introduce the concept of the underlying functor. We also show that there is an affine bundle structure on product preserving functors on
Miroslav Doupovec
doaj
An intermediate term functor logic
Argumentos, 2019 Neste artigo, tentamos fazer algo bastante simples: conhecer os avanços de Sommers e Englebretsen (a saber, uma álgebra mais-menos para silogística) juntamente com os desenvolvimentos de Peterson e Thompson (ou seja, uma extensão da silogística com “a ...
José Martin Castro Manzano
doaj +1 more source
Probability measure monad on the category of ultrametric spaces
Applied General Topology, 2008 The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the ...
O.B. Hubal, M.M. Zarichnyi
doaj +1 more source
Transactions of the American Mathematical Society, 1968 0. Introduction. In the investigation of functors on the category of preschemes, one is led, by Grothendieck [3], to consider the following situation. Let A be a complete noetherian local ring, ,u its maximal ideal, and k = A/l the residue field. (In most applications A is k itself, or a ring of Witt vectors.) Let C be the category of Artin local A ...
openaire +4 more sources
On derived functors of limit [PDF]
Transactions of the American Mathematical Society, 1973 If A \mathcal {A} is a cocomplete category with enough projectives and C {\mathbf {C}} is a ↓ \downarrow -finite small category, then there is a spectral sequence which shows that the cardinality of C {\mathbf {C ...
openaire +3 more sources
ON THE QUADRATIC FOCK FUNCTOR [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2012 We prove that the quadratic second quantization of an operator p on L2(ℝd) ∩ L∞(ℝd) is an orthogonal projection on the quadratic Fock space if and only if p is a multiplication operator by a characteristic function χI, I ⊂ ℝd.
openaire +5 more sources
On the equvialence of colimits and 2-colimits
, 2019 We compare the colimit and 2-colimit of strict 2-functors in the 2-category of groupoids, over a certain type of posets. These posets are of special importance, as they correspond to coverings of a topological space.
Pirashvili, Ilia
core
On Adjoint and Brain Functors [PDF]
Axiomathes, 2015 There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts
openaire +4 more sources