@article{e5f38806e45c49b6a876016af61e3884,
title = "CONSTRUCTION of STRICTLY CLOSED RINGS",
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.",
keywords = "Arf ring, Stanley-Reisner ring, Strictly closed ring, Weakly Arf ring",
author = "Naoki Endo and Shiro Goto",
note = "Funding Information: Received by the editors September 24, 2020, and, in revised form, May 8, 2021. 2020 Mathematics Subject Classification. Primary 13A15, 13B22, 13B30. Key words and phrases. Strictly closed ring, Arf ring, weakly Arf ring, Stanley-Reisner ring. The first author was partially supported by JSPS Grant-in-Aid for Young Scientists 20K14299 and JSPS Overseas Research Fellowships. The second author was partially supported by JSPS Grant-in-Aid for Scientific Research (C) 21K03211. Publisher Copyright: 2021 American Mathematical Society",
year = "2022",
doi = "10.1090/proc/15659",
language = "English",
volume = "150",
pages = "119--129",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "1",
}