TY - JOUR

T1 - Right and left modules over the Frobenius skew polynomial ring in the F-finite case

AU - Sharp, Rodney Y.

AU - Yoshino, Yuji

N1 - Funding Information:
† Partially supported by the Engineering and Physical Sciences Research Council of the United Kingdom (Overseas Travel Grant Number EP/C538803/1), and also by the Foundation for International Exchange Program of Okayama University. ‡ Partially supported by Japan Society for the Promotion of Science (Grant-in-Aid (B) 21340008).

PY - 2011/5/1

Y1 - 2011/5/1

N2 - 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.

AB - 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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U2 - 10.1017/S0305004110000617

DO - 10.1017/S0305004110000617

M3 - Article

AN - SCOPUS:78951484286

VL - 150

SP - 419

EP - 438

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -