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- W2951650883 abstract "Let R be a regular ring essentially of finite type over a perfect field k. An R-module M is called a unit R[F]-module if it comes equipped with an isomorphism F*M-->M where F denotes the Frobenius map on Spec R, and F* is the associated pullback functor. It is well known that M then carries a natural D-module structure. In this paper we investigate the relation between the unit R[F]-structure and the induced D-structure on M. In particular, it is shown that, if k is algebraically closed and M is a simple finitely generated unit R[F]-module, then it is also simple as a D-module. An example showing the necessity of k being algebraically closed is also given." @default.
- W2951650883 created "2019-06-27" @default.
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- W2951650883 date "2002-01-19" @default.
- W2951650883 modified "2023-09-27" @default.
- W2951650883 title "The D-Module structure of R[F]-modules" @default.
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