Query:
学者姓名:姚海楼
Refining:
Year
Type
Indexed by
Source
Complex
Co-Author
Language
Clean All
Abstract :
Let ?? be a Grothendieck category, ? an infinite regular cardinal. We investigate the ?-purity of ??, and the ?-pure acyclic complexes in C(??). Using the ?-presentable objects, we verify that the class of ?-pure acyclic complexes is a thick subcategory of homotopy category. Then we construct ?-pure derived category naturally. Through some specific constructions, we get that bounded above ?-pure derived categories coincide with specific homotopy categories.
Keyword :
?-pure acyclic complex ?-pure acyclic complex ?-pure derived category ?-pure derived category ?-Presentable object ?-Presentable object ?-pure projective object ?-pure projective object
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Wang, Xi , Yao, Hailou , Shen, Lei . ?-pure derived categories of a Grothendieck category [J]. | JOURNAL OF ALGEBRA AND ITS APPLICATIONS , 2023 . |
MLA | Wang, Xi 等. "?-pure derived categories of a Grothendieck category" . | JOURNAL OF ALGEBRA AND ITS APPLICATIONS (2023) . |
APA | Wang, Xi , Yao, Hailou , Shen, Lei . ?-pure derived categories of a Grothendieck category . | JOURNAL OF ALGEBRA AND ITS APPLICATIONS , 2023 . |
Export to | NoteExpress RIS BibTex |
Abstract :
As generalizations of silting modules and star modules, respectively, the notions and basic properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show the "triangular relation" in tilting theory is also valid in silting and star theories in the context of Gorenstein homological algebras. We establish more closed connections among silting and tilting, star theories, that is, we investigate relations between Gorenstein weak n-silting, Gorenstein weak n-tilting and Gorenstein weak n-star modules. Based on these relations, we obtain new characterizations of Gorenstein weak n-tilting modules.
Keyword :
Gorenstein weak n-tilting module Gorenstein weak n-tilting module Gorenstein weak n-star module Gorenstein weak n-star module Gorenstein weak n-silting module Gorenstein weak n-silting module
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Yuan, Qianqian , Yao, Hailou . Gorenstein Weak n-Silting Modules and Weak n-Star Modules [J]. | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY , 2023 , 49 (5) . |
MLA | Yuan, Qianqian 等. "Gorenstein Weak n-Silting Modules and Weak n-Star Modules" . | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 49 . 5 (2023) . |
APA | Yuan, Qianqian , Yao, Hailou . Gorenstein Weak n-Silting Modules and Weak n-Star Modules . | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY , 2023 , 49 (5) . |
Export to | NoteExpress RIS BibTex |
Abstract :
We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.
Keyword :
duality duality finitely silting comodule finitely silting comodule quasi-finite silting comodule quasi-finite silting comodule finitely tilting comodule finitely tilting comodule torsion pair torsion pair
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Yuan, Qianqian , Yao, Hailou . Finitely Silting Comodules in Quasi-Finite Comodule Category [J]. | CZECHOSLOVAK MATHEMATICAL JOURNAL , 2023 . |
MLA | Yuan, Qianqian 等. "Finitely Silting Comodules in Quasi-Finite Comodule Category" . | CZECHOSLOVAK MATHEMATICAL JOURNAL (2023) . |
APA | Yuan, Qianqian , Yao, Hailou . Finitely Silting Comodules in Quasi-Finite Comodule Category . | CZECHOSLOVAK MATHEMATICAL JOURNAL , 2023 . |
Export to | NoteExpress RIS BibTex |
Abstract :
In this paper, we introduce the Gorenstein hereditary and Gorenstein semi hereditary modules and study the properties of the radical of Gorenstein projective modules over left artin rings. As an application, we characterize when Gorenstein projective modules are projective and give some characterizations of the Gorenstein hereditary rings by radical and Gorenstein projective modules over the endomorphism algebra of a module, respectively. Meanwhile we study the projective complexes over Gorenstein hereditary rings. In the last part of the paper, we study the heredity, Goren stein heredity and quasi-heredity of the Morita context ring Lambda((0,0)) which is a left artin algebra.
Keyword :
projective com-plex projective com-plex Gorenstein projective module Gorenstein projective module Morita ring Morita ring Gorenstein hereditary ring Gorenstein hereditary ring radical radical
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Yan, Meiqi , Yao, Hailou . Gorenstein Hereditary Rings [J]. | JOURNAL OF MATHEMATICAL STUDY , 2022 , 55 (2) : 124-138 . |
MLA | Yan, Meiqi 等. "Gorenstein Hereditary Rings" . | JOURNAL OF MATHEMATICAL STUDY 55 . 2 (2022) : 124-138 . |
APA | Yan, Meiqi , Yao, Hailou . Gorenstein Hereditary Rings . | JOURNAL OF MATHEMATICAL STUDY , 2022 , 55 (2) , 124-138 . |
Export to | NoteExpress RIS BibTex |
Abstract :
Let C be a coalgebra. We prove that a right C-comodule is an n-cosyzygy if and only if it is a Gorenstein n-cosyzygy. We study the Gorenstein global dimension of coalgebras and the class of Gorenstein hereditary coalgebras. As a generalization of Gorenstein hereditary coalgebras, we introduce the concept of Gorenstein semihereditary coalgebras and show that a coalgebra C is Gorenstein semihereditary if and only if every finitely cogenerated factor of any injective comodule is Gorenstein injective.
Keyword :
hereditary coalgebra hereditary coalgebra Gorenstein hereditary coalgebra Gorenstein hereditary coalgebra Gorenstein injective comodule Gorenstein injective comodule Cosyzygy comodule Cosyzygy comodule
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Li, Yexuan , Yao, Hailou . Gorenstein Hereditary Coalgebras [J]. | JOURNAL OF MATHEMATICAL STUDY , 2022 , 55 (2) : 216-228 . |
MLA | Li, Yexuan 等. "Gorenstein Hereditary Coalgebras" . | JOURNAL OF MATHEMATICAL STUDY 55 . 2 (2022) : 216-228 . |
APA | Li, Yexuan , Yao, Hailou . Gorenstein Hereditary Coalgebras . | JOURNAL OF MATHEMATICAL STUDY , 2022 , 55 (2) , 216-228 . |
Export to | NoteExpress RIS BibTex |
Abstract :
In this paper we study the relation between Gorenstein derived and pure derived categories under some conditions. Then, we also study the relation between Gorenstein singularity and pure singularity categories. Furthermore, we describe the bounded Gorenstein derived category by pure projective modules, under a fairly strong assumption on the ring. In the last part of the paper, we study the pure derived category over a hereditary ring.
Keyword :
Pure derived category Pure derived category Recollement Recollement Gorenstein derived category Gorenstein derived category Gorenstein singularity category Gorenstein singularity category Pure singularity category Pure singularity category Hereditary Hereditary
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Yan, Meiqi , Yao, Hailou . The Relation Between Gorenstein Derived and Pure Derived Categories [J]. | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY , 2022 , 48 (6) : 3481-3499 . |
MLA | Yan, Meiqi 等. "The Relation Between Gorenstein Derived and Pure Derived Categories" . | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 48 . 6 (2022) : 3481-3499 . |
APA | Yan, Meiqi , Yao, Hailou . The Relation Between Gorenstein Derived and Pure Derived Categories . | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY , 2022 , 48 (6) , 3481-3499 . |
Export to | NoteExpress RIS BibTex |
Abstract :
The aim of this paper is to introduce the concept of n-Gorenstein tilting comodules and study its main properties. This concept generalizes the notion of n-tilting comodules of finite injective dimensions to the case of finite Gorenstein injective dimensions. As an application of our results, we discuss the problem of existence of complements to partial n-Gorenstein tilting comodules.
Keyword :
Gorenstein injective comodule Gorenstein injective comodule Comodule Comodule Gorenstein coalgebra Gorenstein coalgebra Gorenstein tilting comodule Gorenstein tilting comodule
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Li, Yexuan , Yao, Hailou . A Characterization of n-Gorenstein Tilting Comodules [J]. | APPLIED CATEGORICAL STRUCTURES , 2022 , 30 (6) : 1135-1152 . |
MLA | Li, Yexuan 等. "A Characterization of n-Gorenstein Tilting Comodules" . | APPLIED CATEGORICAL STRUCTURES 30 . 6 (2022) : 1135-1152 . |
APA | Li, Yexuan , Yao, Hailou . A Characterization of n-Gorenstein Tilting Comodules . | APPLIED CATEGORICAL STRUCTURES , 2022 , 30 (6) , 1135-1152 . |
Export to | NoteExpress RIS BibTex |
Abstract :
We introduce the concepts of higher-dimensional defect functors and n-Auslander-Reiten translations. Then we prove the higher-dimensional Auslander's defect formula for the category of finitely n-copresented comodules over a left semiperfect coal-gebra. Based on this formula, we obtain the higher-dimensional Auslander-Reiten formula for comodule categories.
Keyword :
comodule comodule coalgebra coalgebra defect defect transpose transpose Auslander-Reiten formula Auslander-Reiten formula
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Li, Yexuan , Yao, Hailou . ON HIGHER-DIMENSIONAL A USLANDER-REITEN THEORY FOR COMODULE CATEGORIES [J]. | COLLOQUIUM MATHEMATICUM , 2022 , 171 (1) : 79-101 . |
MLA | Li, Yexuan 等. "ON HIGHER-DIMENSIONAL A USLANDER-REITEN THEORY FOR COMODULE CATEGORIES" . | COLLOQUIUM MATHEMATICUM 171 . 1 (2022) : 79-101 . |
APA | Li, Yexuan , Yao, Hailou . ON HIGHER-DIMENSIONAL A USLANDER-REITEN THEORY FOR COMODULE CATEGORIES . | COLLOQUIUM MATHEMATICUM , 2022 , 171 (1) , 79-101 . |
Export to | NoteExpress RIS BibTex |
Abstract :
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 the homotopy category of bounded complexes over X. We also give sufficient conditions such that the recollement (A, B, C) of abelian categories can be lifted to a (lower or upper) recollement of relative derived categories with respect to balance pairs. Finally, we provide some applications.
Keyword :
balance pairs balance pairs homotopy category homotopy category Contravariantly finite subcategory Contravariantly finite subcategory recollement recollement
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | Hu, Yonggang , Yao, Hailou . The recollements induced by contravariantly finite subcategories [J]. | PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES , 2022 , 132 (1) . |
MLA | Hu, Yonggang 等. "The recollements induced by contravariantly finite subcategories" . | PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 132 . 1 (2022) . |
APA | Hu, Yonggang , Yao, Hailou . The recollements induced by contravariantly finite subcategories . | PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES , 2022 , 132 (1) . |
Export to | NoteExpress RIS BibTex |
Abstract :
斜群代数的倾斜维数
Keyword :
倾斜投射维数 倾斜投射维数 倾斜模 倾斜模 倾斜投射分解 倾斜投射分解 倾斜投射模 倾斜投射模 斜群代数 斜群代数 倾斜整体维数 倾斜整体维数
Cite:
Copy from the list or Export to your reference management。
GB/T 7714 | 姚海楼 , 吕鑫龙 , 北京工业大学学报 . 斜群代数的倾斜维数 [J]. | 姚海楼 , 2021 , 47 (2) : 201-208 . |
MLA | 姚海楼 等. "斜群代数的倾斜维数" . | 姚海楼 47 . 2 (2021) : 201-208 . |
APA | 姚海楼 , 吕鑫龙 , 北京工业大学学报 . 斜群代数的倾斜维数 . | 姚海楼 , 2021 , 47 (2) , 201-208 . |
Export to | NoteExpress RIS BibTex |
Export
Results: |
Selected to |
Format: |