Minimal J-trace identities for M(n,n) and queer trace identities for Mn(E)

It is known, see [2], that the algebra M(n,n) has a J-trace and satisfies J-trace identities and the algebra Mn(E) has a queer trace and satisfies queer trace identities, and that the degree of the minimal identities is 12(n+2)(n+1) for each of them. In this paper we construct all minimal degree identities in one variable. In the case of Mn(E) there is only one, up to constant multiple: qtr(x)qtr(x2)⋯qtr(xn+1)=0.