Finite étale extensions of Tate rings and decompletion of perfectoid algebras
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2022/01/01
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Journal
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Indian UGC (journal)
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Refrences29
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Citations3
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Kei Nakazato
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Kazuma Shimomoto ORCID (unauthenticated)
Cite
Nakazato, Kei, and Kazuma Shimomoto. “Finite étale Extensions of Tate Rings and Decompletion of Perfectoid Algebras”. Journal of Algebra, vol. 589, 2022, pp. 114-58, https://doi.org/10.1016/j.jalgebra.2021.09.018.
Nakazato, K., & Shimomoto, K. (2022). Finite étale extensions of Tate rings and decompletion of perfectoid algebras. Journal of Algebra, 589, 114-158. https://doi.org/10.1016/j.jalgebra.2021.09.018
Nakazato K, Shimomoto K. Finite étale extensions of Tate rings and decompletion of perfectoid algebras. Journal of Algebra. 2022;589:114-58.
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Integral perfectoid big Cohen–Macaulay algebras via André’s theorem | Mathematische Annalen |
| 5 | 2018 |
| Integral p $p$ -adic Hodge theory | Publications mathématiques de l'IHÉS |
| 63 | 2018 |
| Le lemme d’Abhyankar perfectoide | Publications mathématiques de l'IHÉS |
| 19 | 2018 |
| Zariskian adic spaces | Kodai Mathematical Journal |
| 3 | 2018 |
| Almost purity and overconvergent Witt vectors | Journal of Algebra |
| 3 | 2015 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
A CALCULATION OF THE PERFECTOIDIZATION OF SEMIPERFECTOID RINGS | Nagoya Mathematical Journal |
| 2024 | |
| Some Ring-theoretic Properties via Frobenius and Monoidal Maps | Tokyo Journal of Mathematics |
| 2024 | |
A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS | Nagoya Mathematical Journal |
| 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 3 |
The category
Science: Mathematics 3
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS and was published in 2023. The most recent citation comes from a 2024 study titled A CALCULATION OF THE PERFECTOIDIZATION OF SEMIPERFECTOID RINGS. This article reached its peak citation in 2024, with 2 citations. It has been cited in 2 different journals. Among related journals, the Nagoya Mathematical Journal cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.