%0 Journal Article %T On the Cohen-Macaulayness of tangent cones of monomial curves in $\mathbb{A}^{4}(K)$ %A Feza Arslan %A Anargyros Katsabekis %A Melissa Nalbandiyan %J Mathematics %D 2015 %I arXiv %X In this paper we give necessary and sufficient conditions for the Cohen-Macaulayness of the tangent cone of a monomial curve in the 4-dimensional affine space. We study particularly the case where $C$ is a Gorenstein non-complete intersection monomial curve. %U http://arxiv.org/abs/1512.04204v1