Mathematical Sciences: Faculty Presentations (1991-2022)

Gorenstein Projective (Pre)Covers

Document Type

Presentation

Presentation Date

3-26-2016

Copyright

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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

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