2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120500We 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.Quantum Algebra$A^{N}_{\infty}$-algebrastext