Arslan, F.Şahin, N.2016-02-082016-02-0820140021-8693http://hdl.handle.net/11693/25124In this article, we give a fast and an easily implementable algorithm for computing the Arf closure of an irreducible algebroid curve (or a branch). Moreover, we study the relation between the branches having the same Arf closure and their regularity indices. We give some results and a conjecture, which are steps towards the interpretation of Arf closure as a specific way of taming the singularity.EnglishArf closureArf ringArf semigroupBranchHilbert functionArticle10.1016/j.jalgebra.2014.06.0231090-266X