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Start Over Author "Sharp, Rodney Y." Journal mathematical proceedings of the cambridge philosophical society
6 results on '"Sharp, Rodney Y."'

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

Author

SHARP, RODNEY Y. and YOSHINO, YUJI

Subjects
*MODULES (Algebra), *POLYNOMIAL rings, *FROBENIUS algebras, *NOETHERIAN rings, *LOCAL rings (Algebra), *HOMOMORPHISMS, *CATEGORIES (Mathematics)
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. [ABSTRACT FROM AUTHOR]

Published
2011
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