CONSTRUCTION of STRICTLY CLOSED RINGS

Naoki Endo, Shiro Goto

Research output: Contribution to journalArticlepeer-review

Abstract

The notion of strict closedness of rings was given by J. Lipman [Amer. J. Math. 93 (1971), pp. 649–685] in connection with a conjecture of O. Zariski. The present purpose is to give a practical method of construction of strictly closed rings. It is also shown that the Stanley-Reisner rings of simplicial complexes (resp. F-pure rings satisfying the condition (S2) of Serre) are strictly closed (resp. weakly Arf) rings.

Original languageEnglish
Pages (from-to)119-129
Number of pages11
JournalProceedings of the American Mathematical Society
Volume150
Issue number1
DOIs
Publication statusPublished - 2022

Keywords

  • Arf ring
  • Stanley-Reisner ring
  • Strictly closed ring
  • Weakly Arf ring

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