Silting reduction in extriangulated categories
Y Liu, P Zhou, Y Zhou, B Zhu - arXiv preprint arXiv:2108.07964, 2021 - arxiv.org
… relation between silting subcategories and tilting subcategories in extriangulated categories,
… the description of the singularity category due to Happel and Chen-Zhang by this reduction. …
… the description of the singularity category due to Happel and Chen-Zhang by this reduction. …
Silting reduction and picture categories of 0-Auslander extriangulated categories
ED Børve - arXiv preprint arXiv:2405.00593, 2024 - arxiv.org
… of localization theory for extriangulated categories in § 3. In § 4, … silting subcategories of an
extriangulated category, with emphasis on the case of 0-Auslander extriangulated categories, …
extriangulated category, with emphasis on the case of 0-Auslander extriangulated categories, …
Silting interval reduction and 0-Auslander extriangulated categories
J Pan, B Zhu - arXiv preprint arXiv:2401.13513, 2024 - arxiv.org
… a reduction theorem for intervals of silting subcategories in extriangulated categories. Such
reduction is called ”silting interval reduction”. It allows us to study silting theory from a new …
reduction is called ”silting interval reduction”. It allows us to study silting theory from a new …
A new characterization of silting subcategories in the stable category of a Frobenius extriangulated category
Y Ma, N Ding, Y Zhang, J Hu - Communications in Algebra, 2023 - Taylor & Francis
… categories and triangulated categories. Typical examples of … extriangulated categories are
Frobenius exact categories … extriangulated category induced by the certain subcategory of …
Frobenius exact categories … extriangulated category induced by the certain subcategory of …
An assortment of properties of silting subcategories of extriangulated categories
T Adachi, M Tsukamoto - arXiv preprint arXiv:2303.08125, 2023 - arxiv.org
… we study silting subcategories of an extriangulated category. First, we show that a silting
subcategory induces a basis of the Grothendieck group of an extriangulated category. Secondly…
subcategory induces a basis of the Grothendieck group of an extriangulated category. Secondly…
Hereditary extriangulated categories: silting objects, mutation, negative extensions
M Gorsky, H Nakaoka, Y Palu - arXiv preprint arXiv:2303.07134, 2023 - arxiv.org
… ubiquity of hereditary extriangulated categories in this context… for silting objects in certain
hereditary extriangulated categories … subcategories in 0-Auslander extriangulated categories to …
hereditary extriangulated categories … subcategories in 0-Auslander extriangulated categories to …
Some applications of extriangulated categories
Y Palu - arXiv preprint arXiv:2307.10019, 2023 - arxiv.org
… categories to that of extriangulated categories (see Theorem 3.13). Moreover, we proved that
the homotopy categories of … pairs and silting subcategories in extriangulated categories. J. …
the homotopy categories of … pairs and silting subcategories in extriangulated categories. J. …
Silting Reduction in Exact Categories
Y Liu, P Zhou, Y Zhou, B Zhu - Algebras and Representation Theory, 2024 - Springer
… Presilting and silting subcategories in extriangulated categories were introduced by Adachi
… Exact categories and triangulated categories are extriangulated categories. In this paper, …
… Exact categories and triangulated categories are extriangulated categories. In this paper, …
Hereditary cotorsion pairs and silting subcategories in extriangulated categories
T Adachi, M Tsukamoto - Journal of Algebra, 2022 - Elsevier
… t-structures and silting subcategories for finite dimensional … and silting subcategories on a
triangulated category. To give … notion of silting subcategories in an extriangulated category (…
triangulated category. To give … notion of silting subcategories in an extriangulated category (…
Auslander-Buchweitz approximation theory for extriangulated categories
Y Ma, N Ding, Y Zhang - arXiv preprint arXiv:2006.05112, 2020 - arxiv.org
… extriangulated category, we give a characterization of hereditary cotorsion pairs pU,Vq on the
extriangulated category … characterization of silting subcategories on the stable category C. …
extriangulated category … characterization of silting subcategories on the stable category C. …
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- subcategories in extriangulated categories exact structure
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- extriangulated categories grothendieck monoids
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- extriangulated categories proper classes
- extriangulated categories reiten theory
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- extriangulated categories relative tilting theory
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- abelian categories cluster tilting subcategories