| Title: |
Right and left modules over the Frobenius skew polynomial ring in the F-finite case |
| Authors: |
SHARP, RODNEY Y.; YOSHINO, YUJI |
| Source: |
Mathematical Proceedings of the Cambridge Philosophical Society ; volume 150, issue 3, page 419-438 ; ISSN 0305-0041 1469-8064 |
| Publisher Information: |
Cambridge University Press (CUP) |
| Publication Year: |
2011 |
| Description: |
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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1017/s0305004110000617 |
| Availability: |
https://doi.org/10.1017/s0305004110000617; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0305004110000617 |
| Rights: |
https://www.cambridge.org/core/terms |
| Accession Number: |
edsbas.7EEC232C |
| Database: |
BASE |