Homology Theories and Gorenstein Dimensions for Complexes

In this paper, we first study the Gorenstein projective/flat dimension of complexes of modules. The relation between the Gorenstein projective/flat dimension for complexes and that for modules are investigated. Then we study Tate, stable and unbounded homology for complexes of modules. In the case o...

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Veröffentlicht in:	Algebras and representation theory 2021-12, Vol.24 (6), p.1459-1477
1. Verfasser:	Liang, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Associative Rings and Algebras Commutative Rings and Algebras Homology Mathematics Mathematics and Statistics Modules Non-associative Rings and Algebras Physical Sciences Science & Technology
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Zusammenfassung:	In this paper, we first study the Gorenstein projective/flat dimension of complexes of modules. The relation between the Gorenstein projective/flat dimension for complexes and that for modules are investigated. Then we study Tate, stable and unbounded homology for complexes of modules. In the case of module arguments, we get some results that improve the known results.
ISSN:	1386-923X 1572-9079
DOI:	10.1007/s10468-020-09999-1