Mathematical Sciences: Faculty Presentations (1991-2022)

A Characterization of Regular Rings

Document Type

Presentation

Presentation Date

10-17-2009

Copyright

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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

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