Trace maps over M3(K) associated with the substitutions

Let K be a field of characteristic zero and M3(K) the ring of matrices 3 x 3 over K. In this paper, we establish first the certain identities of traces of some algebras of M3(K), then we define the trace mapping of 3 × 3 matrices associated with a substitution over a two-letter alphabet on some algebraic variety and study their properties.``