%0 Journal Article %T $A^{N}_{\infty}$-algebras %A Mauricio Angel %A Rafael Diaz %J Mathematics %D 2006 %I arXiv %X We study higher depth algebras. We introduce several examples of such structures starting from the notion of $N$-differential graded algebras and build up to the concept of $A_{\infty}^N$-algebras. %U http://arxiv.org/abs/math/0612661v1