Finiteness criteria for Gorenstein flat dimension and stability

Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and Stovicek and were shown to be Gorenstein projective. While the relation between Gorenstein projective and Gorenstein flat modules is not well understood, the class of projectively coresolved Gorenstein flat module...

Full description

Saved in:
Bibliographic Details
Published in:Communications in algebra 2024-02, Vol.52 (2), p.695-710
Main Authors: Kaperonis, Ilias, Stergiopoulou, Dimitra-Dionysia
Format: Article
Language:English
Subjects:
Gorenstein flat dimension
Modules
Projectively coresolved Gorenstein flat module
Stability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and Stovicek and were shown to be Gorenstein projective. While the relation between Gorenstein projective and Gorenstein flat modules is not well understood, the class of projectively coresolved Gorenstein flat modules is contained in the class of Gorenstein flat modules. This paper proves necessary and sufficient conditions for a module of finite Gorenstein flat dimension to be projectively coresolved Gorenstein flat, or of finite flat dimension. Stability results for the class of projectively coresolved Gorenstein flat modules are also established.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2023.2247104