%0 Journal Article %T On the Zariski-Lipman conjecture for normal algebraic surfaces %A Indranil Biswas %A R. V. Gurjar %A Sagar U. Kolte %J Mathematics %D 2014 %I arXiv %X We consider the Zariski-Lipman Conjecture on free module of derivations for algebraic surfaces. Using the theory of non-complete algebraic surfaces, and some basic results about ruled surfaces, we will prove the conjecture for several classes of affine and projective surfaces. %U http://arxiv.org/abs/1403.5613v1