Results 51 to 60 of about 100,519 (222)
On the adjoint representation of a hopf algebra [PDF]
Proceedings of the Edinburgh Mathematical Society, 2019 We consider the adjoint representation of a Hopf algebra $H$ focusing on the locally finite part, $H_{{\textrm ad\,fin}}$, defined as the sum of all finite-dimensional subrepresentations.
S. Kolb +3 more
semanticscholar +1 more source
Some categorical aspects of the inverse limits in ditopological context
Applied General Topology, 2018 This paper considers some various categorical aspects of the inverse systems (projective spectrums) and inverse limits described in the category ifPDitop, whose objects are ditopological plain texture spaces and morphisms are bicontinuous point functions
Filiz Yildiz
doaj +1 more source
Neat embeddings as adjoint situations
, 2013 We view the neat reduct operator as a functor that lessens dimensions from CA_{\alpha+\omega} to CA_{\alpha} for infinite ordinals \alpha. We show that this functor has no right adjoint. Conversely for polyadic algebras, and several reducts thereof, like
Ahmed, Tarek Sayed
core +1 more source
The compactness locus of a geometric functor and the formal construction of the Adams isomorphism [PDF]
Journal of Topology, 2016 We introduce the compactness locus of a geometric functor between rigidly‐compactly generated tensor‐triangulated categories, and describe it for several examples arising in equivariant homotopy theory and algebraic geometry. It is a subset of the tensor‐
Beren Sanders
semanticscholar +1 more source
THE GEOMETRY OF BLUEPRINTS PART II: TITS–WEYL MODELS OF ALGEBRAIC GROUPS
Forum of Mathematics, Sigma, 2018 This paper is dedicated to a problem raised by Jacquet Tits in 1956: the Weyl group of a Chevalley group should find an interpretation as a group over what is nowadays called $\mathbb{F}_{1}$, the field with one element.
OLIVER LORSCHEID
doaj +1 more source
Representations are adjoint to endomorphisms [PDF]
Journal of Homotopy and Related Structures, 2019 The functor that takes a ring to its category of modules has an adjoint if one remembers the forgetful functor to abelian groups: the endomorphism ring of linear natural transformations. This uses the self-enrichment of the category of abelian groups. If
Gabriel C. Drummond-Cole +2 more
semanticscholar +1 more source
Adjoint functors and tree duality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Graphs and Algorithms A family T of digraphs is a complete set of obstructions for a digraph H if for an arbitrary digraph G the existence of a homomorphism from G to H is equivalent to the non-existence of a homomorphism from any member of T to G.
Foniok, Jan, Tardif, Claude
openaire +7 more sources
On exponentiable soft topological spaces [PDF]
Sahand Communications in Mathematical Analysis, 2016 An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable spaces in the category $mathbf{Top}$ of
Ghasem Mirhosseinkhani +1 more
doaj
, 2008 Plato's ideas and Aristotle's real types from the classical age, Nominalism and Realism of the mediaeval period and Whitehead's modern view of the world as pro- cess all come together in the formal representation by category theory of exactness in ...
Heather, Michael, Rossiter, Nick
core
A Quillen model structure for Gray-categories
, 2010 A Quillen model structure on the category Gray-Cat of Gray-categories is described, for which the weak equivalences are the triequivalences. It is shown to restrict to the full subcategory Gray-Gpd of Gray-groupoids.
Berger +11 more
core +1 more source