Every unit Cartier module over a noetherian F-finite ring of prime characteristic p has injective dimension at most the dimension of its support plus one; the same holds for unit Frobenius modules over regular rings.
Blickle : The D -module structure of R[F] -modules , Trans
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On the injective dimension of unit Cartier and Frobenius modules
Every unit Cartier module over a noetherian F-finite ring of prime characteristic p has injective dimension at most the dimension of its support plus one; the same holds for unit Frobenius modules over regular rings.