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

Rodney Y. Sharp, Yuji Yoshino

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)419-438
Number of pages20
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume150
Issue number3
DOIs
Publication statusPublished - May 1 2011

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Right and left modules over the Frobenius skew polynomial ring in the F-finite case'. Together they form a unique fingerprint.

Cite this