Virtually Gorenstein rings and relative homology of complexes
From MaRDI portal
Publication:2161110
DOI10.1016/j.jpaa.2022.107127zbMath1497.18013OpenAlexW4282914582MaRDI QIDQ2161110
Li Liang, Junpeng Wang, Zhen Xing Di
Publication date: 4 August 2022
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2022.107127
Gorenstein flat moduleGorenstein projective modulerelative homologyGorenstein injective modulevirtually Gorenstein ring
Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes in associative algebras (16E05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
- Homotopy equivalences induced by balanced pairs
- Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
- Thick subcategories and virtually Gorenstein algebras.
- Relative global dimensions and stable homotopy categories
- On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
- Homological dimensions of unbounded complexes
- Gorenstein homological dimensions.
- Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis)
- Gorenstein injective and projective modules
- Relative homological algebra
- Homology theories and Gorenstein dimensions for complexes
- A refinement of Gorenstein flat dimension via the flat-cotorsion theory
- Gorenstein homology, relative pure homology and virtually Gorenstein rings
- Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
- On the finiteness of Gorenstein homological dimensions
- Acyclicity versus total acyclicity for complexes over noetherian rings
- Gorenstein complexes and recollements from cotorsion pairs
- Cotorsion pairs and model structures on Ch(R)
- Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
- Rings with finite Gorenstein injective dimension
- The flat model structure on 𝐂𝐡(𝐑)
- Deconstructibility and the Hill Lemma in Grothendieck categories
- HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS
- The stable category of Gorenstein flat sheaves on a noetherian scheme
- Stable module theory
- Homological and homotopical aspects of torsion theories
- The Nakayama functor and its completion for Gorenstein algebras
