Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Buan, Aslak Bakke"'
Autor:
Buan, Aslak Bakke, Marsh, Bethany Rose
We establish some properties of $\tau$-exceptional sequences for finite-dimensional algebras. In an earlier paper we established a bijection between the set of ordered support $\tau$-tilting modules and the set of complete signed $\tau$-exceptional s
Externí odkaz:
http://arxiv.org/abs/2211.10428
Autor:
Buan, Aslak Bakke, Zhou, Yu
Motivated by its links to $\tau$-tilting theory, we introduce a generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t-structures in corresponding triangulated categories, and to cotorsion pairs in certain extensio
Externí odkaz:
http://arxiv.org/abs/2111.10995
Autor:
Buan, Aslak Bakke, Hanson, Eric J.
Publikováno v:
Nagoya Mathematical Journal 252 (2023), 959-984
Let $\Lambda$ be a finite-dimensional algebra. A wide subcategory of $\mathsf{mod}\Lambda$ is called left finite if the smallest torsion class containing it is functorially finite. In this paper, we prove that the wide subcategories of $\mathsf{mod}\
Externí odkaz:
http://arxiv.org/abs/2107.01141
Autor:
Buan, Aslak Bakke, Zhou, Yu
Publikováno v:
In Journal of Pure and Applied Algebra January 2024 228(1)
We study the Ginzburg dg algebra $\Gamma_\mathbf{T}$ associated to the quiver with potential arising from a triangulation $\mathbf{T}$ of a decorated marked surface $\mathbf{S}_\bigtriangleup$, in the sense of Qiu. We show that there is a canonical w
Externí odkaz:
http://arxiv.org/abs/1804.00094
Autor:
Buan, Aslak Bakke, Marsh, Bethany
An algebra is said to be \emph{$\tau$-tilting finite} provided it has only a finite number of $\tau$-rigid objects up to isomorphism. We associate a category to each such algebra. The objects are the wide subcategories of its category of finite dimen
Externí odkaz:
http://arxiv.org/abs/1802.03812
Autor:
Buan, Aslak Bakke, Marsh, Bethany
We introduce the notions of $\tau$-exceptional and signed $\tau$-exceptional sequences for any finite dimensional algebra. We prove that for a fixed algebra of rank $n$, and for any positive integer $t \leq n$, there is a bijection between the set of
Externí odkaz:
http://arxiv.org/abs/1802.01169
We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated by examples, taken in p
Externí odkaz:
http://arxiv.org/abs/1710.08685
Autor:
Buan, Aslak Bakke, Marsh, Bethany Rose
Publikováno v:
In Journal of Algebra 1 November 2021 585:36-68
Autor:
Buan, Aslak Bakke, Zhou, Yu
We study possible values of the global dimension of endomorphism algebras of 2-term silting complexes. We show that for any algebra $A$ whose global dimension $\mathop{\rm gl. dim}\nolimits A\leq 2$ and any 2-term silting complex $\mathbf{P}$ in the
Externí odkaz:
http://arxiv.org/abs/1605.09255