Some applications of extriangulated categories
Y Palu - arXiv preprint arXiv:2307.10019, 2023 - arxiv.org
Extriangulated categories axiomatize extension-closed subcategories of triangulated
categories and generalise both exact categories and triangulated categories. This survey …
categories and generalise both exact categories and triangulated categories. This survey …
Localization of extriangulated categories
H Nakaoka, Y Ogawa, A Sakai - Journal of Algebra, 2022 - Elsevier
In this article, we show that the localization of an extriangulated category by a multiplicative
system satisfying mild assumptions can be equipped with a natural, universal structure of an …
system satisfying mild assumptions can be equipped with a natural, universal structure of an …
[PDF][PDF] External triangulation of the homotopy category of exact quasi-category
H Nakaoka, Y Palu - arXiv preprint arXiv:2004.02479, 2020 - arxiv.org
arXiv:2004.02479v1 [math.CT] 6 Apr 2020 Page 1 arXiv:2004.02479v1 [math.CT] 6 Apr 2020
EXTERNAL TRIANGULATION OF THE HOMOTOPY CATEGORY OF EXACT QUASI-CATEGORY …
EXTERNAL TRIANGULATION OF THE HOMOTOPY CATEGORY OF EXACT QUASI-CATEGORY …
The category of extensions and a characterisation of n-exangulated functors
R Bennett-Tennenhaus, J Haugland, MH Sandøy… - Mathematische …, 2023 - Springer
Additive categories play a fundamental role in mathematics and related disciplines. Given
an additive category equipped with a biadditive functor, one can construct its category of …
an additive category equipped with a biadditive functor, one can construct its category of …
The index with respect to a rigid subcategory of a triangulated category
P Jørgensen, A Shah - International Mathematics Research …, 2024 - academic.oup.com
Palu defined the index with respect to a cluster tilting object in a suitable triangulated
category, in order to better understand the Caldero–Chapoton map that exhibits the …
category, in order to better understand the Caldero–Chapoton map that exhibits the …
[HTML][HTML] The Karoubi envelope and weak idempotent completion of an extriangulated category
D Msapato - Applied Categorical Structures, 2022 - Springer
The Karoubi envelope and weak idempotent completion of an extriangulated category | Applied
Categorical Structures Skip to main content SpringerLink Account Menu Find a journal Publish …
Categorical Structures Skip to main content SpringerLink Account Menu Find a journal Publish …
Extriangulated ideal quotients, with applications to cluster theory and gentle algebras
X Fang, M Gorsky, Y Palu, PG Plamondon… - arXiv preprint arXiv …, 2023 - arxiv.org
We extend results of Br\" ustle-Yang on ideal quotients of 2-term subcategories of perfect
derived categories of non-positive dg algebras to a relative setting. We find a new …
derived categories of non-positive dg algebras to a relative setting. We find a new …
The Grothendieck Group of an n-exangulated Category
J Haugland - Applied Categorical Structures, 2021 - Springer
We define the Grothendieck group of an n-exangulated category. For n odd, we show that
this group shares many properties with the Grothendieck group of an exact or a triangulated …
this group shares many properties with the Grothendieck group of an exact or a triangulated …
Higher Auslander's formula
R Ebrahimi, A Nasr-Isfahani - … Mathematics Research Notices, 2022 - academic.oup.com
Higher Auslander’s Formula | International Mathematics Research Notices | Oxford
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Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search …
Reduction of Frobenius extriangulated categories
E Faber, BR Marsh, M Pressland - arXiv preprint arXiv:2308.16232, 2023 - arxiv.org
We describe a reduction technique for stably 2-Calabi--Yau Frobenius extriangulated
categories $\mathcal {F} $ with respect to a functorially finite rigid subcategory $\mathcal {X} …
categories $\mathcal {F} $ with respect to a functorially finite rigid subcategory $\mathcal {X} …