paper

Tight closure of ideals on Witt rings

arXiv:2409.06459

Abstract

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--rationality. Furthermore, we study the relationship between the closure operator and integrally closure.

arXiv comment15 pages, minor changes. To appear in Math Z