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Right and left modules over the Frobenius skew polynomial ring in the F-finite case
Published online by Cambridge University Press: 27 January 2011
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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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 150 , Issue 3 , May 2011 , pp. 419 - 438
- Copyright
- Copyright © Cambridge Philosophical Society 2011
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