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The gamma-construction and permanence properties of the (relative) \(F\)-rational signature

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Publication:6612171
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DOI10.1016/j.jalgebra.2024.06.010MaRDI QIDQ6612171

Shiji Lyu

Publication date: 30 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)




zbMATH Keywords

F-singularitiesgamma-construction


Mathematics Subject Classification ID

Local rings and semilocal rings (13Hxx) General commutative ring theory (13Axx) Theory of modules and ideals in commutative rings (13Cxx)





Cites Work

  • Unnamed Item
  • The Hilbert-Kunz function
  • Localisation de la lissite formelle
  • Openness of the F-rational locus and smooth base change
  • The F-rational signature and drops in the Hilbert-Kunz multiplicity
  • Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
  • Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
  • On Noetherian Rings of Characteristic p
  • F-Regularity, Test Elements, and Smooth Base Change
  • Uniform bounds in F-finite rings and lower semi-continuity of the F-signature
  • The theory of F-rational signature




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