Results 71 to 80 of about 1,642,029 (305)

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

Adjoint Functors and Triangulated Categories [PDF]

Communications in Algebra, 2008
We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the cases of homotopy and stable module categories. These categories naturally fit into a framework of relative derived categories, and once we prove that there are decent ...
openaire   +3 more sources

Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley   +1 more source

A simplification functor for coalgebras

International Journal of Mathematics and Mathematical Sciences, 2006
For an arbitrary-type functor F, the notion of split coalgebras, that is, coalgebras for which the canonical projections onto the simple factor split, generalizes the well-known notion of simple coalgebras. In case F weakly preserves kernels, the passage
Maurice Kianpi, Celestin Nkuimi Jugnia
doaj   +1 more source

Triangulated Categories of Big Motives via Enriched Functors [PDF]

arXiv, 2023
Based on homological algebra of Grothendieck categories of enriched functors, two models for Voevodsky's category of big motives with reasonable correspondences are given in this paper.
arxiv  

On maximal proper subgroups of field automorphism groups

, 2009
Let $G$ be the automorphism group of an extension $F|k$ of algebraically closed fields of characteristic zero and of transcendence degree $n$, $1\le n\le\infty$. In this paper we (i) construct some maximal closed non-open subgroups $G_v$, and some (all,
Rovinsky, M.
core   +1 more source

Preservation for generation along the structure morphism of coherent algebras over a scheme

Bulletin of the London Mathematical Society, EarlyView.
Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley   +1 more source

The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4

International Journal of Mathematics and Mathematical Sciences, 2010
For each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic version of Soergel's category of bimodules to the category of sl(N) foams defined by Mackaay, Stošić, and Vaz. We show that through these functors Soergel's category can be
Marco Mackaay, Pedro Vaz
doaj   +1 more source

An Invitation to Applied Category Theory

, 2019
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science ...
Brendan Fong, David I. Spivak
semanticscholar   +1 more source

The Picard group in equivariant homotopy theory via stable module categories

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley   +1 more source