Special precovering classes in comma categories
J Hu, H Zhu - Science China Mathematics, 2022 - Springer
Let T be a right exact functor from an abelian category ℬ into another abelian category A.
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …
Gorenstein homological dimensions for extriangulated categories
J Hu, D Zhang, P Zhou - Bulletin of the Malaysian Mathematical Sciences …, 2021 - Springer
Abstract Let (C, E, s)(C, E, s) be an extriangulated category with a proper class ξ ξ of E E-
triangles. In a previous work, we introduced and studied the ξ ξ-GG projective and the ξ ξ-GG …
triangles. In a previous work, we introduced and studied the ξ ξ-GG projective and the ξ ξ-GG …
Complete cohomology for extriangulated categories
J Hu, D Zhang, T Zhao, P Zhou - Algebra Colloquium, 2021 - World Scientific
Let (C, E, s) be an extriangulated category with a proper class ξ of E-triangles. We study
complete cohomology of objects in (C, E, s) by applying ξ-projective resolutions and ξ …
complete cohomology of objects in (C, E, s) by applying ξ-projective resolutions and ξ …
Cotorsion pairs and Hovey triples over trivial ring extensions
L Mao - Communications in Algebra, 2024 - Taylor & Francis
Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first give some
homological formulas over R⋉ M. Then we investigate how to construct (hereditary …
homological formulas over R⋉ M. Then we investigate how to construct (hereditary …
The Recollements of Abelian Categories: Cotorsion Dimensions and Cotorsion Triples
X Fu, Y Hu - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper, we study the cotorsion dimensions and cotorsion triples in the recollements of
abelian categories. The main results are that recollements induce new (resp. complete …
abelian categories. The main results are that recollements induce new (resp. complete …
形式三角矩阵环上的余挠三元组
曹家乐, 杨晓燕 - Pure Mathematics, 2022 - hanspub.org
本文研究了形式三角矩阵环上的余挠三元组的问题. 设是形式三角矩阵环, 其中A 和B 是环, U
是左B-右A-双模. 本文利用A-模上完备(完全) 遗传的余挠三元组(C 1, C 2, C 3) 和B …
是左B-右A-双模. 本文利用A-模上完备(完全) 遗传的余挠三元组(C 1, C 2, C 3) 和B …
Relation between balanced pairs and TTF triples
W Li - Journal of Pure and Applied Algebra, 2024 - Elsevier
Let A be a complete and cocomplete abelian category with the additional assumption that
any direct sum and product of short exact sequences are exact. We explore the relation …
any direct sum and product of short exact sequences are exact. We explore the relation …
Gorenstein global dimensions relative to balanced pairs
L Haiyu, Z Rongmin, G Yuxian - Electronic Research Archive, 2020 - aimsciences.org
Let G (X) and G (Y) be Gorenstein subcategories induced by an admissible balanced pair
(X, Y) in an abelian category A. In this paper, we establish Gorenstein homological …
(X, Y) in an abelian category A. In this paper, we establish Gorenstein homological …
The recollements induced by contravariantly finite subcategories
Y Hu, H Yao - Proceedings-Mathematical Sciences, 2022 - Springer
Let X be an admissible contravariantly finite subcategory of an abelian category A. We show
that A has finite global X-resolution dimension if and only if there is a lower recollement of …
that A has finite global X-resolution dimension if and only if there is a lower recollement of …
Ideal balanced pairs
J Asadollahi, S Hemat, R Vahed - Journal of Algebra and Its …, 2021 - World Scientific
In this paper, ideal balanced pairs in an abelian category will be introduced and studied. It is
proved that every ideal balanced pair gives rise to a triangle equivalence of relative derived …
proved that every ideal balanced pair gives rise to a triangle equivalence of relative derived …