Two-term silting and -cluster morphism categories

ED Børve - arXiv preprint arXiv:2110.03472, 2021 - arxiv.org
… Given any finite-dimensional algebra, Jasso provides a suitable bijection between classes
of support τ-tilting modules [Jas15, Theorem 3.15], and shows that it is compatible with Iyama–…

Resolving subcategories and dimensions in recollements of extriangulated categories

X Ma, T Zhao, X Zhuang - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
… a recollement of extriangulated categories. We provide some methods to construct resolving
subcategories involved in a recollement and … of cotilting modules in a recollement of module

Relative Oppermann–Thomas Cluster Tilting Objects in -Angulated Categories

Z Xie, Z Liu, X Yang - Applied Categorical Structures, 2022 - Springer
… objects, then prove that the partial order has a close relationship with the factors of support
\(\tau _n\)-tilting modules (see Definition 3.1(c) and Proposition 4.4). In fact, we have the …

A bijection between tilting subcategories and cotorsion pairs in extriangulated categories

Z Zhu, J Wei - arXiv preprint arXiv:2403.03546, 2024 - arxiv.org
… As applications, we introduce the notions of support т-tilting subcategories and т-cotorsion …
Then we define support τ-tilting subcategories and τ-cotorsion pairs of extriangulated …

The recollements induced by contravariantly finite subcategories

Y Hu, H Yao - Proceedings-Mathematical Sciences, 2022 - Springer
… \(\tau :{\mathcal {D}}\rightarrow {\mathcal {C}}\), then we have a lower … recollements of
triangulated categories. Specifically, our goal is to obtain some new ways to construct recollements

A geometric model for the module category of a string algebra

K Baur, RC Simoes - arXiv preprint arXiv:2403.07810, 2024 - arxiv.org
… allows us to give a more explicit classification of support tau-tilting modules (see Section 5).
The description … Recollements of partially wrapped fukaya categories and surface cuts, 2023. …

Triangular matrix categories II: Recollements and functorially finite subcategories

AL Galeana, MO Morales, VS Vargas - Algebras and Representation …, 2023 - Springer
… In Section 4, we show how construct recollements in the category of modules over triangular …
a recollement in functor categories we can induce a recollement between modules over …

G-Invariant Recollements and Skew Group Algebras

Y Hu, H Yao - Results in Mathematics, 2020 - Springer
recollement from a known recollement is an effective method for investigating homological
properties of algebras. Han [15] proved that each recollement … inductively along recollements. …

Some applications of extriangulated categories

Y Palu - arXiv preprint arXiv:2307.10019, 2023 - arxiv.org
… This work was partially supported by the … rigid modules of [BGMS23]. This suggests that
using 0-Auslander exact categories might help proving mutation of maximal almost-rigid modules

Tame algebras have dense g-vector fans

PG Plamondon, T Yurikusa… - International Mathematics …, 2023 - academic.oup.com
… We conjecture that |$\tau $|-tilting tameness is equivalent to |$\textbf{g}$|-tameness. This, …
|$\tau $|-tilting tame, as conjectured in [17, Conjecture 3.22]. We do not discuss |$\tau $|-tilting