%0 Journal Article %A Ali Mutlu and Berrin Mutlu %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 55, 2011 %T 1−Skeleton Resolution of Free Simplicial Algebras with Given CW−Basis %U https://publications.waset.org/pdf/6262 %V 55 %X In this paper we use the definition of CW basis of a free simplicial algebra. Using the free simplicial algebra, it is shown to construct free or totally free 2−crossed modules on suitable construction data with given a CW−basis of the free simplicial algebra. We give applications free crossed squares, free squared complexes and free 2−crossed complexes by using of 1(one) skeleton resolution of a step by step construction of the free simplicial algebra with a given CW−basis. %P 1050 - 1053