NSTL国家科技图书文献中心

1. Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs NSTL国家科技图书文献中心

Becerril, Victor | Perez, Marco A. - 《Rendiconti del Circolo Matematico di Palermo》 - 2025,74(1) - 共30页

摘要： the right half of a hereditary com- plete cotorsion | We study homological and homotopical aspects | of Gorenstein flat modules over a ring with respect | to a duality pair (L, A). These modules are defined | as cycles of exact chain complexes with components

关键词： Relative Gorenstein flat modules | Relative Gorenstein flat dimensions | Duality pairs | cotorsion pairs | Model category structures | Recollements

2. Compatible weak factorization systems and model structures NSTL国家科技图书文献中心

Di, Zhenxing | Li, Liping ... - 《Journal of pure and applied algebra》 - 2025,229(1) - 共18页

摘要： counterpart of compatible complete cotorsion* pairs in* | In this paper, the concept of compatible weak | factorization systems in general categories is introduced as a | abelian categories. We describe a method to construct | model structures on general categories via two

关键词： Weak factorization system | (Abelian) model structure | Cotorsion pair

3. Hearts of twin cotorsion pairs revisited: Integral and Abelian hearts NSTL国家科技图书文献中心

Liu, Yu | Zhou, Panyue - 《Journal of Algebra》 - 2024,646 - 268～293 - 共26页

摘要：Hearts of twin cotorsion* pairs are shown to be* | necessary condition for the hearts of twin cotorsion pairs | quasi-abelian in [14]. But they are not always | integral. In this article, we provide a sufficient and | being integral (resp. abelian). (c) 2024 Elsevier Inc

关键词： Twin cotorsion pair | Heart | Integral | Abelian | TRIANGULATED CATEGORIES

4. Cotorsion pairs in comma categories NSTL国家科技图书文献中心

Yuan, Yuan | He, Jian ... - 《Czechoslovak Mathematical Journal》 - 2024,74(3) - 715～734 - 共20页

摘要：}-exact, then is a (hereditary) cotorsion* pair in* | }$$end{document} and is a (hereditary) cotorsion* pair* | ) cotorsion* pair in (B down arrow Tdocumentclass[12pt* | Let Adocumentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts

关键词： comma category | cocompatible functor | cotorsion pair

5. Cotorsion pairs and Hovey triples over trivial ring extensions NSTL国家科技图书文献中心

Mao, Lixin - 《Communications in algebra》 - 2024,52(1/2) - 148～171 - 共24页

摘要： (hereditary, complete) cotorsion* pairs and (hereditary* | Let R?M be a trivial extension of a ring R by | an R-R-bimodule M. We first give some homological | formulas over R?M. Then we investigate how to construct | , cofibrantly generated) Hovey triples over R?M. Finally, some

关键词： Cotorsion pair | Hovey triple | Morita context ring | trivial ring extension | FORMULAS

6. Enochs' conjecture for cotorsion pairs and more NSTL国家科技图书文献中心

Bazzoni, Silvana | Saroch, Jan - 《Forum mathematicum》 - 2024,36(6) - 1517～1528 - 共12页

摘要： left-hand class of any cotorsion* pair generated by a* | Enochs' conjecture asserts that each covering | class of modules (over any ring) has to be closed | under direct limits. Although various special cases of | the conjecture have been verified, the conjecture

关键词： Enochs conjecture | covering class | locally split | tree module

7. Separated monic correspondence of cotorsion pairs and semi-Gorenstein-projective modules NSTL国家科技图书文献中心

Luo, Xiu-Hua | Zhu, Shijie - 《Journal of pure and applied algebra》 - 2024,228(6) - ARTN 107586～ - 共19页

摘要：, 32) is a (complete) hereditary cotorsion* pair in A* | a (complete) hereditary cotorsion* pair in Lambda* | Given a finite dimensional algebra A over a | field k, and a finite acyclic quiver Q, let Lambda = A | circle times k kQ/I, where kQ is the path algebra of Q

关键词： Cotorsion pairs | Separated monic representations | (semi-)Gorenstein-projective | modules | Left (right) weakly Gorenstein | algebras | Triangular matrix rings | MONOMORPHISM CATEGORIES | REPRESENTATIONS | ALGEBRAS

8. Completeness of Induced Cotorsion Pairs in Representation Categories of Rooted Quivers NSTL国家科技图书文献中心

Di, Zhen Xing | Li, Li Ping ... - 《Acta Mathematica Sinica.English Series》 - 2024,40(10) - 2436～2452 - 共17页

摘要： cotorsion pairs (Phi(X), Phi(X)perpendicular to) and | complete whenever (X, Y) is a complete cotorsion* pair in* | This paper focuses on a question raised by | Holm and J & oslash;rgensen, who asked if the induced | (perpendicular to Psi(Y), Psi(Y)) in Rep(Q, A)-the category of

关键词： Rooted quiver | complete cotorsion pair | special precovering (preenveloping) subcategory

9. Relative tilting theory in abelian categories I: Auslander-Buchweitz-Reiten approximations theory in subcategories and cotorsion-like pairs NSTL国家科技图书文献中心

Argudin-Monroy, Alej... | Hernandez, Octavio M... - 《Boletín de la Sociedad Matemática Mexicana》 - 2024,30(2) - ARTN 64～ - 共34页

摘要： hereditary cotorsion* pairs. These pairs appear in a natural* | quiver representations and relative cotorsion pairs | {document}$$mathcal {X}$$end{document}-hereditary pairs | In this paper, we introduce a special kind of | relative (co)resolutions associated with a pair of

关键词： Cotorsion pairs | Homological dimensions | Auslander-Buchweitz-Reiten theory | MODULES

10. Coderived and contraderived categories of locally presentable abelian DG-categories NSTL国家科技图书文献中心

Positselski, Leonid | Stovicek, Jan - 《Mathematische Zeitschrift》 - 2024,308(1) - ARTN 14～ - 共70页

摘要：The concept of an abelian DG-category | , introduced by the first-named author in Positselski (Exact | DG-categories and fully faithful triangulated | inclusion functors. arXiv:2110.08237 [math.CT]), unites | the notions of abelian categories and (curved) DG

摘要： the right half of a hereditary com- plete cotorsion | We study homological and homotopical aspects | of Gorenstein flat modules over a ring with respect | to a duality pair (L, A). These modules are defined | as cycles of exact chain complexes with components

关键词： Relative Gorenstein flat modules | Relative Gorenstein flat dimensions | Duality pairs | cotorsion pairs | Model category structures | Recollements

摘要： counterpart of compatible complete cotorsion* pairs in* | In this paper, the concept of compatible weak | factorization systems in general categories is introduced as a | abelian categories. We describe a method to construct | model structures on general categories via two

关键词： Weak factorization system | (Abelian) model structure | Cotorsion pair

摘要：Hearts of twin cotorsion* pairs are shown to be* | necessary condition for the hearts of twin cotorsion pairs | quasi-abelian in [14]. But they are not always | integral. In this article, we provide a sufficient and | being integral (resp. abelian). (c) 2024 Elsevier Inc

关键词： Twin cotorsion pair | Heart | Integral | Abelian | TRIANGULATED CATEGORIES

摘要：}-exact, then is a (hereditary) cotorsion* pair in* | }$$end{document} and is a (hereditary) cotorsion* pair* | ) cotorsion* pair in (B down arrow Tdocumentclass[12pt* | Let Adocumentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts

关键词： comma category | cocompatible functor | cotorsion pair

摘要： (hereditary, complete) cotorsion* pairs and (hereditary* | Let R?M be a trivial extension of a ring R by | an R-R-bimodule M. We first give some homological | formulas over R?M. Then we investigate how to construct | , cofibrantly generated) Hovey triples over R?M. Finally, some

关键词： Cotorsion pair | Hovey triple | Morita context ring | trivial ring extension | FORMULAS

摘要： left-hand class of any cotorsion* pair generated by a* | Enochs' conjecture asserts that each covering | class of modules (over any ring) has to be closed | under direct limits. Although various special cases of | the conjecture have been verified, the conjecture

关键词： Enochs conjecture | covering class | locally split | tree module

摘要：, 32) is a (complete) hereditary cotorsion* pair in A* | a (complete) hereditary cotorsion* pair in Lambda* | Given a finite dimensional algebra A over a | field k, and a finite acyclic quiver Q, let Lambda = A | circle times k kQ/I, where kQ is the path algebra of Q

关键词： Cotorsion pairs | Separated monic representations | (semi-)Gorenstein-projective | modules | Left (right) weakly Gorenstein | algebras | Triangular matrix rings | MONOMORPHISM CATEGORIES | REPRESENTATIONS | ALGEBRAS

摘要： cotorsion pairs (Phi(X), Phi(X)perpendicular to) and | complete whenever (X, Y) is a complete cotorsion* pair in* | This paper focuses on a question raised by | Holm and J & oslash;rgensen, who asked if the induced | (perpendicular to Psi(Y), Psi(Y)) in Rep(Q, A)-the category of

关键词： Rooted quiver | complete cotorsion pair | special precovering (preenveloping) subcategory

摘要： hereditary cotorsion* pairs. These pairs appear in a natural* | quiver representations and relative cotorsion pairs | {document}$$mathcal {X}$$end{document}-hereditary pairs | In this paper, we introduce a special kind of | relative (co)resolutions associated with a pair of

关键词： Cotorsion pairs | Homological dimensions | Auslander-Buchweitz-Reiten theory | MODULES

摘要：The concept of an abelian DG-category | , introduced by the first-named author in Positselski (Exact | DG-categories and fully faithful triangulated | inclusion functors. arXiv:2110.08237 [math.CT]), unites | the notions of abelian categories and (curved) DG

关键词： HOMOTOPY CATEGORY | TOTAL ACYCLICITY | COTORSION PAIRS | COMPLEXES | DUALITY

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： the right half of a hereditary com- plete cotorsion | We study homological and homotopical aspects | of Gorenstein flat modules over a ring with respect | to a duality pair (L, A). These modules are defined | as cycles of exact chain complexes with components

关键词： Relative Gorenstein flat modules | Relative Gorenstein flat dimensions | Duality pairs | cotorsion pairs | Model category structures | Recollements

摘要： counterpart of compatible complete cotorsion pairs in | In this paper, the concept of compatible weak | factorization systems in general categories is introduced as a | abelian categories. We describe a method to construct | model structures on general categories via two

关键词： Weak factorization system | (Abelian) model structure | Cotorsion pair

摘要：Hearts of twin cotorsion pairs are shown to be | necessary condition for the hearts of twin cotorsion pairs | quasi-abelian in [14]. But they are not always | integral. In this article, we provide a sufficient and | being integral (resp. abelian). (c) 2024 Elsevier Inc

关键词： Twin cotorsion pair | Heart | Integral | Abelian | TRIANGULATED CATEGORIES

摘要：}-exact, then is a (hereditary) cotorsion pair in | }$$end{document} and is a (hereditary) cotorsion pair | ) cotorsion pair in (B down arrow Tdocumentclass[12pt | Let Adocumentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts

关键词： comma category | cocompatible functor | cotorsion pair

摘要： (hereditary, complete) cotorsion pairs and (hereditary | Let R?M be a trivial extension of a ring R by | an R-R-bimodule M. We first give some homological | formulas over R?M. Then we investigate how to construct | , cofibrantly generated) Hovey triples over R?M. Finally, some

关键词： Cotorsion pair | Hovey triple | Morita context ring | trivial ring extension | FORMULAS

摘要： left-hand class of any cotorsion pair generated by a | Enochs' conjecture asserts that each covering | class of modules (over any ring) has to be closed | under direct limits. Although various special cases of | the conjecture have been verified, the conjecture

关键词： Enochs conjecture | covering class | locally split | tree module

摘要：, 32) is a (complete) hereditary cotorsion pair in A | a (complete) hereditary cotorsion pair in Lambda | Given a finite dimensional algebra A over a | field k, and a finite acyclic quiver Q, let Lambda = A | circle times k kQ/I, where kQ is the path algebra of Q

关键词： Cotorsion pairs | Separated monic representations | (semi-)Gorenstein-projective | modules | Left (right) weakly Gorenstein | algebras | Triangular matrix rings | MONOMORPHISM CATEGORIES | REPRESENTATIONS | ALGEBRAS

摘要： cotorsion pairs (Phi(X), Phi(X)perpendicular to) and | complete whenever (X, Y) is a complete cotorsion pair in | This paper focuses on a question raised by | Holm and J & oslash;rgensen, who asked if the induced | (perpendicular to Psi(Y), Psi(Y)) in Rep(Q, A)-the category of

关键词： Rooted quiver | complete cotorsion pair | special precovering (preenveloping) subcategory

摘要： hereditary cotorsion pairs. These pairs appear in a natural | quiver representations and relative cotorsion pairs | {document}$$mathcal {X}$$end{document}-hereditary pairs | In this paper, we introduce a special kind of | relative (co)resolutions associated with a pair of

关键词： Cotorsion pairs | Homological dimensions | Auslander-Buchweitz-Reiten theory | MODULES

摘要：The concept of an abelian DG-category | , introduced by the first-named author in Positselski (Exact | DG-categories and fully faithful triangulated | inclusion functors. arXiv:2110.08237 [math.CT]), unites | the notions of abelian categories and (curved) DG

关键词： HOMOTOPY CATEGORY | TOTAL ACYCLICITY | COTORSION PAIRS | COMPLEXES | DUALITY

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： counterpart of compatible complete cotorsion* pairs in* | In this paper, the concept of compatible weak | factorization systems in general categories is introduced as a | abelian categories. We describe a method to construct | model structures on general categories via two

摘要：Hearts of twin cotorsion* pairs are shown to be* | necessary condition for the hearts of twin cotorsion pairs | quasi-abelian in [14]. But they are not always | integral. In this article, we provide a sufficient and | being integral (resp. abelian). (c) 2024 Elsevier Inc

摘要：}-exact, then is a (hereditary) cotorsion* pair in* | }$$end{document} and is a (hereditary) cotorsion* pair* | ) cotorsion* pair in (B down arrow Tdocumentclass[12pt* | Let Adocumentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts

摘要： (hereditary, complete) cotorsion* pairs and (hereditary* | Let R?M be a trivial extension of a ring R by | an R-R-bimodule M. We first give some homological | formulas over R?M. Then we investigate how to construct | , cofibrantly generated) Hovey triples over R?M. Finally, some

摘要： left-hand class of any cotorsion* pair generated by a* | Enochs' conjecture asserts that each covering | class of modules (over any ring) has to be closed | under direct limits. Although various special cases of | the conjecture have been verified, the conjecture

摘要：, 32) is a (complete) hereditary cotorsion* pair in A* | a (complete) hereditary cotorsion* pair in Lambda* | Given a finite dimensional algebra A over a | field k, and a finite acyclic quiver Q, let Lambda = A | circle times k kQ/I, where kQ is the path algebra of Q

摘要： cotorsion pairs (Phi(X), Phi(X)perpendicular to) and | complete whenever (X, Y) is a complete cotorsion* pair in* | This paper focuses on a question raised by | Holm and J & oslash;rgensen, who asked if the induced | (perpendicular to Psi(Y), Psi(Y)) in Rep(Q, A)-the category of

摘要： hereditary cotorsion* pairs. These pairs appear in a natural* | quiver representations and relative cotorsion pairs | {document}$$mathcal {X}$$end{document}-hereditary pairs | In this paper, we introduce a special kind of | relative (co)resolutions associated with a pair of