Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives.

We give the identities generating the spaces of degree 4 multilinear identities satisfied by the non commutative 0th-order Bernstein algebras and the non commutative mutation algebras. For it, we use a method reducing the search for multilinear identities to the resolution of linear systems. [ABSTRACT FROM PUBLISHER]