Torsion pairs in recollements of abelian categories
X Ma, Z Huang - Frontiers of Mathematics in China, 2018 - Springer
Torsion pairs in recollements of abelian categories Page 1 Front. Math. China 2018, 13(4):
875–892 https://doi.org/10.1007/s11464-018-0712-1 Torsion pairs in recollements of abelian …
875–892 https://doi.org/10.1007/s11464-018-0712-1 Torsion pairs in recollements of abelian …
Rigid C*-tensor categories and their realizations as Hilbert C*-bimodules
W Yuan - Proceedings of the Edinburgh Mathematical Society, 2019 - cambridge.org
RIGID C∗-TENSOR CATEGORIES AND THEIR REALIZATIONS AS HILBERT C∗-BIMODULES
Page 1 Proceedings of the Edinburgh Mathematical Society (2019) 62, 367–393 doi:10.1017/S0013091518000524 …
Page 1 Proceedings of the Edinburgh Mathematical Society (2019) 62, 367–393 doi:10.1017/S0013091518000524 …
K-Groups of Trivial Extensions and Gluings of Abelian Categories
Q Chen, M Zheng - Mathematics, 2021 - mdpi.com
This paper focuses on the K i-groups of two types of extensions of abelian categories, which
are the trivial extension and the gluing of abelian categories. We prove that, under some …
are the trivial extension and the gluing of abelian categories. We prove that, under some …
2-categorical Cohen-Montgomery duality between categories with I-pseudo-actions and I-graded categories for a small category I
H Asashiba - The Eighth China-Japan-Korea International …, 2019 - ring-theory-japan.com
Throughout this talk k denotes a commutative ring. We first note that a group pseudo-action
of a group G on a category C defined by Deligne [2] and Drinfeld–Gelaki–Nikshych–Ostrik …
of a group G on a category C defined by Deligne [2] and Drinfeld–Gelaki–Nikshych–Ostrik …
Coherent subcategories of finitely generated -modules
We explore some properties of wide subcategories of the category mod $\,(\Lambda) $ of
finitely generated left $\Lambda $-modules, for some artin algebra $\Lambda. $ In particular …
finitely generated left $\Lambda $-modules, for some artin algebra $\Lambda. $ In particular …
Universal central extensions in semi-abelian categories
JM Casas, T Van der Linden - Applied Categorical Structures, 2014 - Springer
Basing ourselves on Janelidze and Kelly's general notion of central extension, we study
universal central extensions in the context of semi-abelian categories. We consider a new …
universal central extensions in the context of semi-abelian categories. We consider a new …
Intersections of resolving subcategories and intersections of thick subcategories
R Takahashi - European Journal of Mathematics, 2021 - Springer
Let R be a commutative Noetherian local ring. We consider how nontrivial resolving/thick
subcategories of abelian/triangulated categories associated to R intersect. It is understood …
subcategories of abelian/triangulated categories associated to R intersect. It is understood …
On higher torsion classes
Building on the embedding of an n-abelian category into an abelian category as an n-cluster-
tilting subcategory of, in this paper, we relate the n-torsion classes of with the torsion classes …
tilting subcategory of, in this paper, we relate the n-torsion classes of with the torsion classes …
-Objects in Abelian Categories
B Kalebogaz, D Keskin Tütüncü - Algebra Colloquium, 2022 - World Scientific
Let 𝒜 be an abelian category and M∈ A. Then M is called a (D 4)-object if, whenever A and
B are subobjects of M with M= A⊕ B and f: A→ B is an epimorphism, Ker f is a direct …
B are subobjects of M with M= A⊕ B and f: A→ B is an epimorphism, Ker f is a direct …
On equivalence of derived categories
D Yao - K-theory, 1996 - elibrary.ru
Let ${\cal A} $ be an Abelian category and ${\cal B} $ be a thick subcategory of ${\cal A} $.
Let ${D^ b ({\cal B)}} $ denote the derived category of cohomologically bounded chain …
Let ${D^ b ({\cal B)}} $ denote the derived category of cohomologically bounded chain …