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<p>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-<i>F</i>-rationality introduced in Kawakami et al. (Quasi-<i>F</i>-splittings in birational geometry III, 2024). Furthermore, we study the relationship between the closure operator and integrally closure.</p>

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Tight closure of ideals on Witt rings

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Shou Yoshikawa

摘要

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 introduced in Kawakami et al. (Quasi-F-splittings in birational geometry III, 2024). Furthermore, we study the relationship between the closure operator and integrally closure.