Results 21 to 30 of about 198 (75)

A categorical action of the shifted $0$ -affine algebra

Forum of Mathematics, Sigma
We introduce a new algebra $\mathcal {U}=\dot {\mathrm {\mathbf{U}}}_{0,N}(L\mathfrak {sl}_n)$ called the shifted $0$ -affine algebra, which emerges naturally from studying coherent sheaves on n-step partial flag varieties through natural ...
You-Hung Hsu
doaj   +1 more source

The finitistic dimension of a triangulated category

, 2023
The finitistic dimension of a triangulated category is introduced. For the category of perfect complexes over a ring it is shown that this dimension is finite if and only if the small finitistic dimension of the ring is finite.Comment: 4 ...
Krause, Henning
core  

The category of Silva spaces is not integral

, 2022
We establish that the category of Silva spaces, aka LS-spaces, formed by countable inductive limits of Banach spaces with compact linking maps as objects and linear and continuous maps as morphisms, is not an integral category. The result carries over to
Lawson, Marianne, Wegner, Sven-Ake
core  

Abelian categories from triangulated categories via Nakaoka-Palu's localization

, 2020
The aim of this paper is to provide an expansion to Abe-Nakaoka's heart construction of the following two different realizations of the module category over the endomorphism ring of a rigid object in a triangulated category: Buan-Marsh's localization and
Ogawa, Yasuaki
core  

Idempotent completions of equivariant matrix factorization categories

, 2023
We prove that equivariant matrix factorization categories associated to henselian local hypersurface rings are idempotent complete, generalizing a result of Dyckerhoff in the non-equivariant case.Comment: 6 pages.
Brown, Michael K., Walker, Mark E.
core  

Relative tilting theory in extriangulated categories

, 2022
In this article, we define relative resolutions and coresolutions in extriangulated categories. By studying this relative resolutions and coresolutions, we get a generalization of the Auslander-Buchweitz approximation theory.
Xie, Chenbei
core  

A non-vanishing result on the singularity category

, 2023
We prove that a virtually periodic object in an abelian category gives rise to a non-vanishing result on certain Hom groups in the singularity category.
Chen, Xiao-Wu, Li, Zhi-Wei, Zhang, Xiaojin, Zhao, Zhibing   +3 more
core  

$n$-exact categories arising from $n$-exangulated categories

, 2021
Let $\mathscr{C}$ be a Krull-Schmidt $n$-exangulated category and $\mathscr{A}$ be an $n$-extension closed subcategory of $\mathscr{C}$. Then $\mathscr{A}$ inherits the $n$-exangulated structure from the given $n$-exangulated category in a natural way ...
He, Jian, Zhou, Panyue
core  

Intermediate categories for proper abelian subcategories

, 2023
Let $\mathscr{A}$ be an extension closed proper abelian subcategory of a triangulated category $\mathscr{T}$, with no negative 1 and 2 extensions. From this, two functors from $\Sigma\mathscr{A}\ast\mathscr{A}$ to $\mathscr{A}$ can be constructed giving ...
Kortegaard, Anders S.
core  

Tensor weight structures and t-structures on derived categories of Noetherian schemes

, 2022
We give a condition which characterises those weight structures on a derived category which come from a Thomason filtration on the underlying scheme. Weight structures satisfying our condition will be called $\otimes ^c$-weight structures. More precisely,
Dubey, Umesh V, Sahoo, Gopinath
core