%0 Journal Article %T Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three %A Yi-Huang Shen %J Mathematics %D 2008 %I arXiv %X In this paper, we give new characterizations of the Buchsbaum and Cohen-Macaulay properties of the tangent cone $\gr_\frakm(R)$, where $(R,\frakm)$ is a numerical semigroup ring of embedding dimension 3. In particular, we confirm the conjectures raised by Sapko on the Buchsbaumness of $\gr_\frakm(R)$. %U http://arxiv.org/abs/0808.2162v2