Constructing the polynomlal identities and central identities of degree <9 of 3 × 3 matrices Original Research Article

We present an algorithm for computing an independent generating set for the multilinear identities and the multilinear central identities of the m × m matrices over a field ø of characteristic zero or a large enough prime. Then we use it to construct all the multilinear identities and all the multilinear central identities of degree < 9 for M3(ø).