Gorenstein \(FI\)-flat dimension and Tate homology (Q505853)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Gorenstein \(FI\)-flat dimension and Tate homology |
scientific article; zbMATH DE number 6678496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gorenstein \(FI\)-flat dimension and Tate homology |
scientific article; zbMATH DE number 6678496 |
Statements
Gorenstein \(FI\)-flat dimension and Tate homology (English)
0 references
26 January 2017
0 references
The paper under review introduces Gorenstein FI-injective and Gorenstein FI-flat modules over a ring \(R\) as well as the related Gorenstein FI-injective dimension and Gorenstein FI-flat dimension. The treatment is parallel to that used in the case of Gorenstein flat and Gorenstein injective modules. Moreover, the authors develop a theory of Tate homology by defining Tate FI-flat resolutions of a given module \(M\). Finally, they study Tate homology \(\widehat{\text{tor}}\) of FI-cotorsion \(R\)-modules of finite Gorenstein FI-flat dimension over right coherent rings.
0 references
Gorenstein FI-flat module
0 references
Gorenstein FI-injective module
0 references
Tate homology
0 references
FI-cotorsion module
0 references
