Gorenstein Flat Preenvelopes

Presenters/Authors

Alina Iacob, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

9-1-2015

Abstract or Description

We consider a two sided noetherian ring R such that the character modules of Gorenstein injective left R-modules are Gorenstein flat right R-modules. We then prove that the class of Gorenstein flat right R-modules is preenveloping. We also show that over such a ring the class of Gorenstein flat complexes of right R-modules is preenevloping in Ch(R). We also give examples of rings with the property that the character modules of Gorenstein injective modules are Gorenstein flat. We show that any two sided noetherian ring R of finite self injective dimension as a right R-module has the desired property. And we prove that if R is a two sided noetherian ring with a dualizing bimodule V, and such that R is left n-perfect for some positive integer n, then the character modules of Gorenstein injective modules are Gorenstein flat.

Sponsorship/Conference/Institution

Some Trends in Algebra Annual Conference (STA)

Location

Prague, Czech Republic

Recommended Citation

Iacob, Alina. 2015. "Gorenstein Flat Preenvelopes." Department of Mathematical Sciences Faculty Presentations. Presentation 237.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/237