Construction of strictly closed rings
Commutative Algebra
2020-09-28 v2
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. -pure rings satisfying the condition of Serre) are strictly closed (resp. weakly Arf) rings.
Keywords
Cite
@article{arxiv.2006.02892,
title = {Construction of strictly closed rings},
author = {Naoki Endo and Shiro Goto},
journal= {arXiv preprint arXiv:2006.02892},
year = {2020}
}
Comments
11 pages. The title was changed from Weakly Arf rings and Frobenius actions. We also added Section 2