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arXiv · 2006.02892

Construction of strictly closed rings

Naoki Endo·Shiro Goto
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Abstract

The notion of strict closedness of rings was given by J. Lipman 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 $(S_2)$ of Serre) are strictly closed (resp. weakly Arf) rings.

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Naoki Endo, Shiro Goto. 2020-06-03. Construction of strictly closed rings. https://arxiv.org/abs/2006.02892

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