Arf ring
From HandWiki
Short description: 1-dimensional ring with special properties
In mathematics, an Arf ring was defined by (Lipman 1971) to be a 1-dimensional commutative semi-local Macaulay ring satisfying some extra conditions studied by Cahit Arf (1948).
References
- Arf, Cahit (1948), "Une interprétation algébrique de la suite des ordres de multiplicité d'une branche algébrique", Proceedings of the London Mathematical Society, Second series 50: 256–287, doi:10.1112/plms/s2-50.4.256, ISSN 0024-6115
- Lipman, Joseph (1971), "Stable ideals and Arf rings", American Journal of Mathematics (The Johns Hopkins University Press) 93 (3): 649–685, doi:10.2307/2373463, ISSN 0002-9327
 |  |
