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Closure operations in complete local rings of mixed characteristic

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Publication:831299
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DOI10.1016/j.jalgebra.2021.03.038zbMath1474.13014arXiv2010.12564OpenAlexW3094059797MaRDI QIDQ831299

Zhan Jiang

Publication date: 11 May 2021

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

Full work available at URL: https://arxiv.org/abs/2010.12564


zbMATH Keywords

closure operationgeneralized colon capturingphantom extensionsweak epf closure


Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22)


Related Items

A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS



Cites Work

  • Unnamed Item
  • Closure operations that induce big Cohen-Macaulay modules and classification of singularities
  • Tight closure of parameter ideals
  • Almost ring theory
  • Abhyankar's perfectoid lemma
  • The direct factor conjecture
  • Closure operations that induce big Cohen-Macaulay algebras
  • Axiomatic closure operations, phantom extensions, and solidity
  • The direct summand conjecture in dimension three.
  • Perfectoid spaces
  • A characterization of closure operations that induce big Cohen-Macaulay modules
  • Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
  • F-Regularity, Test Elements, and Smooth Base Change
  • Extensions of plus closure
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