A Characterization of Regular Rings
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.
American Mathematical Society Annual Conference (AMS)
Iacob, Alina, Srikanth Iyengar.
"A Characterization of Regular Rings."
Mathematical Sciences Faculty Presentations.