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For questions about projective modules over a ring and projective objects in related categories.

4 votes
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Descriptions of projectives (injectives) in category of D-modules

The following paper of Tim Hodges may be of interest: $K$-theory of $\mathcal{D}$-modules and primitive factors of enveloping algebras of semisimple Lie algebras. Bull. Sci. Math. (2) 113 (1989), no …
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3 votes

Every finitely generated flat module over a ring with finitely many minimal primes is projec...

Over a general ring (not necessarily commutative), every finitely presented flat module is projective. So, one simple condition on the ring that gives you what you want is that every finitely generat …
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