Results 111 to 120 of about 1,642,029 (305)

Adjoints, wrapping, and morphisms at infinity

Comptes Rendus. Mathématique
For a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov’s algebraizable categorical formal punctured neighborhood of infinity can be computed using the natural cone between right
Kuwagaki, Tatsuki, Shende, Vivek
doaj   +1 more source

Completions of non-T2 filter spaces

International Journal of Mathematics and Mathematical Sciences, 2005
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.
Nandita Rath
doaj   +1 more source

Coalgebras on Digital Images

Mathematics, 2020
In this article, we investigate the fundamental properties of coalgebras with coalgebra comultiplications, counits, and coalgebra homomorphisms of coalgebras over a commutative ring R with identity 1R based on digital images with adjacency relations.
Sunyoung Lee, Dae-Woong Lee
doaj   +1 more source

Averaging multipliers on locally compact quantum groups

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws, Jacek Krajczok, Christian Voigt   +2 more
wiley   +1 more source

Equivariant extensions of *-algebras

, 2010
A bivariant functor is defined on a category of *-algebras and a category of operator ideals, both with actions of a second countable group $G$, into the category of abelian monoids. The element of the bivariant functor will be $G$-equivariant extensions
Goffeng, Magnus
core  

Erratum to "Homotopy in Functor Categories" [PDF]

Transactions of the American Mathematical Society, 1983
J*LanjJ*X J*LanJA = C o (JOP X J) cA ?J*X kJ*9 J*X J*X is a 2-cofibration. Since J* is a left adjoint, the lower square is a pushout. Since (J*eX)71J*X = 1, the conclusion follows in routine fashion. The additional hypothesis asks to be characterized as the assertion that C' C C is a cofibered subcategory. There have been other uses of the adjective in
openaire   +2 more sources

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

A Zassenhaus Lemma for Digroups

Mathematics
In this paper, we construct a quotient structure on digroups. This construction yields a new functor from the category of digroups to the category of groups.
Guy Roger Biyogmam
doaj   +1 more source

On Serre functor in the category of strict polynomial functors [PDF]

arXiv, 2016
We introduce and study a Serre functor in the category ${\cal P}_d$ of strict polynomial functors over a field of positive characteristic. By using it we obtain the Poincar\'e duality formula for Ext--groups from [C3] in elementary way. We also show that the derived category of the category of affine strct polynomial functors in some cases carries the ...
arxiv  

Shift orbits for elementary representations of Kronecker quivers

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let r∈N⩾3$r \in \mathbb {N}_{\geqslant 3}$. We denote by Kr$K_r$ the wild r$r$‐Kronecker quiver with r$r$ arrows γi:1⟶2$\gamma _i \colon 1 \longrightarrow 2$ and consider the action of the group Gr⊆Aut(Z2)$G_r \subseteq \operatorname{Aut}(\mathbb {Z}^2)$ generated by δ:Z2⟶Z2,(x,y)↦(y,x)$\delta \colon \mathbb {Z}^2 \longrightarrow \mathbb {Z}^2,
Daniel Bissinger
wiley   +1 more source