Results 31 to 40 of about 1,625,403 (282)
Functors Induced by Cauchy Extension of C$^ast$-algebras [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we give three functors $mathfrak{P}$, $[cdot]_K$ and $mathfrak{F}$ on the category of C$^ast$-algebras. The functor $mathfrak{P}$ assigns to each C$^ast$-algebra $mathcal{A}$ a pre-C$^ast$-algebra $mathfrak{P}(mathcal{A})$ with completion $
Kourosh Nourouzi, Ali Reza
doaj +1 more source
Forum of Mathematics, Pi, 2023 We define, for each quasisyntomic ring R (in the sense of Bhatt et al., Publ. Math. IHES 129 (2019), 199–310), a category $\mathrm {DM}^{\mathrm {adm}}(R)$ of admissible prismatic Dieudonné crystals over R and a functor from p-divisible groups ...
Johannes Anschütz +1 more
doaj +1 more source
Differential Tannakian Categories [PDF]
, 2008 We define a differential Tannakian category and show that under a natural assumption it has a fibre functor. If in addition this category is neutral, that is, the target category for the fibre functor are finite dimensional vector spaces over the base ...
Alexey Ovchinnikov +30 more
core +4 more sources
N-complexes as functors, amplitude cohomology and fusion rules [PDF]
, 2006 We consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology only vanishes on injective functors providing a well defined functor on the ...
A. Connes +20 more
core +6 more sources
Cyclotomic double affine Hecke algebras and affine parabolic category O, I [PDF]
, 2010 Using the orbifold KZ connection we construct a functor from an affine parabolic category O of type A to the category O of a cyclotomic rational double affine Hecke algebra.
Varagnolo, M., Vasserot, E.
core +2 more sources
Sheaves that fail to represent matrix rings [PDF]
, 2014 There are two fundamental obstructions to representing noncommutative rings via sheaves. First, there is no subcanonical coverage on the opposite of the category of rings that includes all covering families in the big Zariski site.
Reyes, Manuel L.
core +1 more source
A completion functor for Cauchy groups
International Journal of Mathematics and Mathematical Sciences, 1981 A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-continuous homomorphisms. A competion functor is also obtained for a corresponding category of convergence groups.
R. Fric, D. C. Kent
doaj +1 more source
GORENSTEIN PROJECTIVE OBJECTS IN FUNCTOR CATEGORIES [PDF]
Nagoya mathematical journal, 2018 Let $k$ be a commutative ring, let ${\mathcal{C}}$ be a small, $k$-linear, Hom-finite, locally bounded category, and let ${\mathcal{B}}$ be a $k$-linear abelian category. We construct a Frobenius exact subcategory ${\mathcal{G}}{\mathcal{P}}({\mathcal{G}}
Sondre Kvamme
semanticscholar +1 more source
AF-algebras and topology of mapping tori [PDF]
, 2015 A covariant functor from the category of mapping tori to a category of AF-algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding AF-algebras.
D. V. Anosov +10 more
core +2 more sources
A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS [PDF]
Journal of Symbolic Logic (JSL), 2015 Fried and Kollár constructed a fully faithful functor from the category of graphs to the category of fields. We give a new construction of such a functor and use it to resolve a longstanding open problem in computable model theory, by showing that for ...
Russell G. Miller +3 more
semanticscholar +1 more source