When are the classes of Gorenstein modules (co)tilting?
DOI10.5802/crmath.639MaRDI QIDQ6639458
Ren Yu Zhao, Liu, Zhongkui, Junpeng Wang
Publication date: 15 November 2024
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
finitistic dimension conjecture(co)tilting class(strongly) finite typeGorenstein projective (resp. injective and flat) module
Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Definable subcategories and connections with model theory (18E45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homotopy equivalences induced by balanced pairs
- The flat dimensions of injective modules
- Gorenstein homological dimensions.
- Cosilting modules
- On Ding injective, Ding projective and Ding flat modules and complexes
- Relative singularity categories, Gorenstein objects and silting theory
- Gorenstein injective and projective modules
- Relative homological algebra
- Finitistic dimension conjectures via Gorenstein projective dimension
- Model structures on modules over Ding-Chen rings.
- Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
- On the finiteness of Gorenstein homological dimensions
- When are definable classes tilting and cotilting classes?
- When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module
- On the telescope conjecture for module categories.
- Approximations and endomorphism algebras of modules.
- Gorenstein injective modules and Ext.
- Infinitely generated tilting modules of finite projective dimension
- Silting Modules
- Tilting theory and the finitistic dimension conjectures
- Direct Products of Modules
- STRONGLY GORENSTEIN FLAT MODULES
- Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
- On rings with finite self-injective dimension
- Silting Modules over Commutative Rings
- Coherent rings with finite self-FP-injective dimension
- Noncommutative G-hereditary rings
- Global Gorenstein dimensions
- On the abundance of silting modules
- On Gorenstein flat dimension
- Tilting subcategories with respect to cotorsion triples in abelian categories
- Tilting modules and Gorenstein rings
- AN EXAMPLE IN NOETHERIAN RINGS
- Stable module theory
- On rings with finite Gorenstein weak global dimension
- Gorenstein weak global dimension is symmetric
- On Gorenstein global and Gorenstein weak global dimensions
- Five theorems on Gorenstein global dimensions
- Infinitely generated Gorenstein tilting modules
This page was built for publication: When are the classes of Gorenstein modules (co)tilting?