Recollement of additive quotient categories
M Wang, Z Lin - arXiv preprint arXiv:1502.00479, 2015 - arxiv.org
arXiv:1502.00479v1 [math.RT] 2 Feb 2015 Page 1 arXiv:1502.00479v1 [math.RT] 2 Feb 2015
RECOLLEMENT OF ADDITIVE QUOTIENT CATEGORIES MINXIONG WANG AND …
RECOLLEMENT OF ADDITIVE QUOTIENT CATEGORIES MINXIONG WANG AND …
Recollements of extriangulated categories
L Wang, J Wei, H Zhang - arXiv preprint arXiv:2012.03258, 2020 - arxiv.org
We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …
triangulated categories, which we call recollements of extriangulated categories. For a …
Frobenius condition on a pretriangulated category, and triangulation on the associated stable category
H Nakaoka - arXiv preprint arXiv:1006.1033, 2010 - arxiv.org
As shown by Happel, from any Frobenius exact category, we can construct a triangulated
category as a stable category. On the other hand, it was shown by Iyama and Yoshino that if …
category as a stable category. On the other hand, it was shown by Iyama and Yoshino that if …
Balanced pairs and recollements in extriangulated categories with negative first extensions
J He, P Zhou - arXiv preprint arXiv:2109.01354, 2021 - arxiv.org
A notion of balanced pairs in an extriangulated category with a negative first extension is
defined in this article. We prove that there exists a bijective correspondence between …
defined in this article. We prove that there exists a bijective correspondence between …
-cotorsion pairs and recollements of extriangulated categories
J He, J He - arXiv preprint arXiv:2403.12673, 2024 - arxiv.org
In this article, we prove that if $(\mathcal A,\mathcal B,\mathcal C) $ is a recollement of
extriangulated categories, then $ n $-cotorsion pairs in $\mathcal A $ and $\mathcal C $ can …
extriangulated categories, then $ n $-cotorsion pairs in $\mathcal A $ and $\mathcal C $ can …
Hereditary extriangulated categories: silting objects, mutation, negative extensions
M Gorsky, H Nakaoka, Y Palu - arXiv preprint arXiv:2303.07134, 2023 - arxiv.org
In this article, we initiate the study of hereditary extriangulated categories. Many important
categories arising in representation theory in connection with various theories of mutation …
categories arising in representation theory in connection with various theories of mutation …
[PDF][PDF] Completions of triangulated categories
H Krause - arXiv preprint arXiv:2309.01260, 2023 - arxiv.org
arXiv:2309.01260v1 [math.CT] 3 Sep 2023 Page 1 arXiv:2309.01260v1 [math.CT] 3 Sep
2023 COMPLETIONS OF TRIANGULATED CATEGORIES HENNING KRAUSE Abstract …
2023 COMPLETIONS OF TRIANGULATED CATEGORIES HENNING KRAUSE Abstract …
Triangulated quotient categories
Y Liu, B Zhu - Communications in algebra, 2013 - Taylor & Francis
A notion of mutation of subcategories in a right triangulated category is defined in this article.
When (𝒵, 𝒵) is a 𝒟-mutation pair in a right triangulated category 𝒞, the quotient category 𝒵/𝒟 …
When (𝒵, 𝒵) is a 𝒟-mutation pair in a right triangulated category 𝒞, the quotient category 𝒵/𝒟 …
Cotorsion pairs in a recollement of triangulated categories
J Chen - Communications in Algebra, 2013 - Taylor & Francis
In the present article, we study the relationship of cotorsion pairs among three triangulated
categories in a recollement. We show that if a triangulated category 𝒟 admits a recollement …
categories in a recollement. We show that if a triangulated category 𝒟 admits a recollement …
From recollement of triangulated categories to recollement of abelian categories
YN Lin, MX Wang - Science China Mathematics, 2010 - Springer
In this paper, we prove that if a triangulated category D admits a recollement relative to
triangulated categories D'and D'', then the abelian category D/T admits a recollement …
triangulated categories D'and D'', then the abelian category D/T admits a recollement …