Gorenstein Projective (Pre)Covers
Location
Room 2903
Session Format
Paper Presentation
Research Area Topic:
Natural & Physical Sciences - Mathematics
Abstract
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).
Creative Commons License
Digital Commons@Georgia Southern License
Presentation Type and Release Option
Presentation (Open Access)
Start Date
4-16-2016 4:00 PM
End Date
4-16-2016 5:00 PM
Recommended Citation
Fox, Micheal James, "Gorenstein Projective (Pre)Covers" (2016). GS4 Georgia Southern Student Scholars Symposium. 109.
https://digitalcommons.georgiasouthern.edu/research_symposium/2016/2016/109
Gorenstein Projective (Pre)Covers
Room 2903
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).
