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

DOI10.1017/S0305004110000617zbMath1234.13006arXiv1008.3763OpenAlexW1999867806MaRDI QIDQ3002204

Rodney Y. Sharp, Yuji Yoshino

Publication date: 20 May 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3763

zbMATH Keywords

Matlis dualityFrobenius skew polynomial ringgraded annihilatorsHartshorne-Speiser-Lyubeznik Theorem

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (7)

Counting skew monomials in the Frobenius skew polynomial ring ⋮ Big tight closure test elements for some non-reduced excellent rings ⋮ A Koszul complex over skew polynomial rings ⋮ An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps ⋮ On the Graded Annihilators of Right Modules Over the Frobenius Skew Polynomial Ring ⋮ Frobenius and Cartier algebras of Stanley-Reisner rings ⋮ Frobenius and Cartier algebras of Stanley-Reisner rings. II

Cites Work

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• On the Hartshorne–Speiser–Lyubeznik theorem about Artinian modules with a Frobenius action
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• Skew-polynomial rings of frobenius type and the theory of tight closure
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