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arXiv · 1008.3763

Right and Left Modules over the Frobenius Skew Polynomial Ring in the F-Finite Case

Rodney Y. Sharp·Yuji Yoshino
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Abstract

The main purposes of this paper are to establish and exploit the result that, over a complete (Noetherian) local ring $R$ of prime characteristic for which the Frobenius homomorphism $f$ is finite, the appropriate restrictions of the Matlis-duality functor provide an equivalence between the category of left modules over the Frobenius skew polynomial ring $R[x,f]$ that are Artinian as $R$-modules and the category of right $R[x,f]$-modules that are Noetherian as $R$-modules.

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Rodney Y. Sharp, Yuji Yoshino. 2010-08-23. Right and Left Modules over the Frobenius Skew Polynomial Ring in the F-Finite Case. https://doi.org/10.1017/s0305004110000617

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