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math.AC2020★ 3 cited
Construction of strictly closed rings
Naoki Endo, Shiro Goto
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…
math.AC2020
On the ubiquity of Arf rings
Ela Celikbas, Olgur Celikbas, Cătălin Ciupercă +4
We introduce and develop the theory of weakly Arf rings, which is a generalization of Arf rings, initially defined by J. Lipman in 1971. We provide characterizations of weakly Arf…