A Characterization of Regular Rings

Presenters/Authors

Alina Iacob, Georgia Southern UniversityFollow
Srikanth Iyengar, University of NebraskaFollow

Document Type

Presentation

Presentation Date

10-17-2009

Abstract or Description

We show that a noetherian ring R is regular if and only if each complex of injective R-modules is semi-injective if and only if each acyclic complex of injective R-modules is contractible. Analogous results are established for complexes of flat modules and of projective modules.

Sponsorship/Conference/Institution

American Mathematical Society Annual Conference (AMS)

Location

Waco, TX

Recommended Citation

Iacob, Alina, Srikanth Iyengar. 2009. "A Characterization of Regular Rings." Department of Mathematical Sciences Faculty Presentations. Presentation 229.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/229