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Presentation
A Characterization of Regular Rings
American Mathematical Society Annual Conference (AMS) (2009)
  • Alina Iacob, Georgia Southern University
  • Srikanth B. Iyengar, University of Nebraska
Abstract
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.
Keywords
  • Regular rings,
  • Noetherian rings
Disciplines
Publication Date
October 17, 2009
Location
Waco, TX
Citation Information
Alina Iacob and Srikanth B. Iyengar. "A Characterization of Regular Rings" American Mathematical Society Annual Conference (AMS) (2009)
Available at: http://works.bepress.com/alina_iacob/13/