In this paper we will define crossed $\Bbb N$-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial algebras to that of n-crossed complexes.
ARVASİ, Z. and KOÇAK, M. (1998) "Crossed N-cubes and n-crossed Complexes of Commutative Algebras," Turkish Journal of Mathematics: Vol. 22: No. 2, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol22/iss2/1