Homological invariants related to semidualizing bimodules
From MaRDI portal
Publication:5742276
DOI10.4064/cm7476-3-2018zbMath1446.16002OpenAlexW2909690053MaRDI QIDQ5742276
Publication date: 13 May 2019
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm7476-3-2018
semidualizing bimodulesC-flat dimensionC-injective dimensionC-projective dimensionrelative homological invariants
Bimodules in associative algebras (16D20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)
Related Items
Some characterizations of Auslander and Bass classes, Homological dimensions relative to preresolving subcategories. II, FPn-injective and FPn-flat modules with respect to a semidualizing bimodule, On the \(C\)-flatness and injectivity of character modules, Duality pairs induced by one-sided Gorenstein subcategories, Left orthogonal classes of semidualizing bimodules
Cites Work
- Unnamed Item
- Unnamed Item
- Gorenstein projective dimension with respect to a semidualizing module
- Syzygy and torsionless modules with respect to a semidualizing module
- Homological dimensions relative to preresolving subcategories
- Homological aspects of the dual Auslander transpose. II
- Flat complexes, pure periodicity and pure acyclic complexes
- Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
- Finitistic dimensions of finite dimensional monomial algebras
- Semi-dualizing modules and related Gorenstein homological dimensions
- A new approximation theory which unifies spherical and Cohen--Macaulay approximations
- Homological aspects of the dual Auslander transpose
- Foxby equivalence over associative rings.
- On modules with trivial self-extensions
- On rings with finite self-injective dimension. II
- Gorenstein homological dimensions.
- Gorenstein dimensions
- Pure-periodic modules and a structure of pure-projective resolutions.
- Tilting modules and Auslander's Gorenstein property.
- Relative homological algebra
- Proper resolutions and Gorenstein categories
- On the vanishing of \(\lim_{(i)}\)
- Character modules
- FP-injectivity relative to a semidualizing bimodule
- When the flat and Gorenstein flat dimensions coincide?
- On the flat length of injective modules
- Gorenstein Modules and Related Modules.
- On the Dimension of Modules and Algebras (III): Global Dimension
- On pure global dimension of locally finitely presented Grothendieck categories
- On rings with finite self-injective dimension
- Homological aspects of the adjoint cotranspose
- Gorenstein Projective Dimension Relative to a Semidualizing Bimodule
- Injective resolutions of Noetherian rings and cogenerators
- A variant theory for the Gorenstein flat dimension
- Injective Dimension in Noetherian Rings
- New Characterizations of Dualizing Modules
- Finite Flat and Projective Dimension
- On Homological Dimensions of Rings with Countably Generated Ideals.
- Homological Dimensions of $\aleph_0$-Coherent Rings.
- Upper Bounds on Homological Dimensions