论文标题
关于ARF环的普遍性
On the ubiquity of Arf rings
论文作者
论文摘要
我们介绍并发展了弱ARF环的理论，这是ARF环的概括，最初由J. Lipman在1971年定义。我们提供了弱ARF环的特征，并研究了这些环，ARF环和严格的环之间的关系。此外，我们给出了来自理想化，纤维产品，确定性环和不变子环的弱ARF环的各种例子。
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.
