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).
Publisher Copyright:
© Copyright Cambridge Philosophical Society 2011.
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.
UR - http://www.scopus.com/inward/record.url?scp=78951484286&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78951484286&partnerID=8YFLogxK
U2 - 10.1017/S0305004110000617
DO - 10.1017/S0305004110000617
M3 - Article
AN - SCOPUS:78951484286
SN - 0305-0041
VL - 150
SP - 419
EP - 438
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
IS - 3
ER -