On the Hartshorne--Speiser--Lyubeznik Theorem about Artinian modules with a Frobenius action

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dc.creatorSharp, Rodney Y.
dc.date2006-05-12
dc.date.accessioned2026-07-07T07:14:10Z
dc.date.available2026-07-07T07:14:10Z
dc.descriptionLet $R$ be a commutative Noetherian local ring of prime characteristic. The purpose of this paper is to provide a short proof of G. Lyubeznik's extension of a result of R. Hartshorne and R. Speiser about a module over the skew polynomial ring $R[x,f]$ (associated to $R$ and the Frobenius homomorphism $f$, in the indeterminate $x$) that is both $x$-torsion and Artinian over $R$.
dc.descriptionThis is to appear in the Proceedings of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/math/0605330
dc.identifierhttp://arxiv.org/abs/math/0605330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112764
dc.subjectCommutative Algebra
dc.subject13A35, 13E10, 16S36 (Primary) 13D45 (Secondary)
dc.titleOn the Hartshorne--Speiser--Lyubeznik Theorem about Artinian modules with a Frobenius action
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