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On the ubiquity of Arf rings by Celikbas, Ela; Celikbas, Olgur; Ciupercă, Cătălin; Endo, Naoki; Goto, Shiro; Isobe, Ryotaro; Matsuoka, Naoyuki is a scholarly article available to read on EtoBox.

What is On the ubiquity of Arf rings about?

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 rings and study the relation between these rings, the Arf rings, and the strict closedness of rings. Furthermore, we give various examples of weakly Arf rings that come from idealizations, fiber products, determinantal rings, and invariant subrings.

Author

Celikbas, Ela; Celikbas, Olgur; Ciupercă, Cătălin; Endo, Naoki; Goto, Shiro; Isobe, Ryotaro; Matsuoka, Naoyuki

Published

2020

Language

EN