Tight closure of ideals on Witt rings
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917772382961664 |
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| author | Yoshikawa, Shou |
| author_facet | Yoshikawa, Shou |
| contents | In this paper, we introduce the notions of tight closure of ideals on Witt rings and quasi-tightly closedness of system of parameters. By using the notions, we obtain a characterization of quasi-$F$-rationality. Furthermore, we study the relationship between the closure operator and integrally closure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tight closure of ideals on Witt rings Yoshikawa, Shou Algebraic Geometry Commutative Algebra In this paper, we introduce the notions of tight closure of ideals on Witt rings and quasi-tightly closedness of system of parameters. By using the notions, we obtain a characterization of quasi-$F$-rationality. Furthermore, we study the relationship between the closure operator and integrally closure. |
| title | Tight closure of ideals on Witt rings |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2409.06459 |