Shape identities in genetic algebras
Given a nonassociative algebra \(A\), the author calls any identity involving only those multilinear monomials in \(k\) variables \(x_ 1, \dots, x_ k\) which preserve the ordering of the variables a shape identity of the algebra. Among other results it is shown that every genetic algebra satisfies nontrivial shape identities. Furthermore, all shape identities satisfied by gametic algebras are determined.
scientific article; zbMATH DE number 731876