Gorenstein Projective (Pre)Covers
Document Type
Presentation
Presentation Date
3-26-2016
Abstract or Description
The existence of the Gorenstein projective precovers is one of the main open problems in Gorenstein Homological algebra. We give sufficient conditions in order for the class of Gorenstein projective complexes to be special precovering in the category of complexes of R-modules Ch(R). More precisely, we prove that if every complex in Ch(R) has a special Gorenstein flat cover, every Gorenstein projective complex is Gorenstein flat, and every Gorenstein flat complex has finite Goenstein projective dimension, then the class of Gorenstein projective complexes, GP(C), is special precovering in Ch(R).
Sponsorship/Conference/Institution
Mathematical Association of America Southeastern Section Annual Meeting (MAA-SE)
Location
Birmingham, AL
Recommended Citation
Fox, Michael J..
2016.
"Gorenstein Projective (Pre)Covers."
Department of Mathematical Sciences Faculty Presentations.
Presentation 108.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/108
