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arXiv · 1903.05463

On the interplay between the Frobenius functor and its dual

Mohammad T. Dibaei·Mohammad Eghbali·Yaser Khalatpour
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Abstract

For a commutative Noetherian ring $R$ of prime characteristic, denote by $^{f}R$ the ring $R$ with the left structure given by the Frobenius map. We develop Thomas Marley's work on the property of the Frobenius functor $\F(-) = - \otimes_R {^f}R$ and show the interplay between $\F$ and its dual $\widetilde{\F}(-) = \Hom_R({}^{f}R, -)$ which is introduced by Jürgen Herzog.

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Mohammad T. Dibaei, Mohammad Eghbali, Yaser Khalatpour. 2020-02-13. On the interplay between the Frobenius functor and its dual. https://arxiv.org/abs/1903.05463

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