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Let R be a *-prime ring with characteristic not 2, sigma,tau : R -> R be two automorphisms, U be a nonzero *-(sigma, tau)-Lie ideal of R such that tau commutes with *, and a,b be in R. (i) If a is an element of S*(R) and [U, a] - 0, then a is an element of Z (R) or U subset of Z (R) : (ii) If a is an element of S* ( R) and [U,a](sigma),(tau) subset of C-sigma,C-tau, then a is an element of Z (R) or U subset of Z (R). (iii) If U not subset of Z (R) and U not subset of C-sigma,C-tau, then there exists a nonzero *-ideal M of R such that [R, M](sigma, tau) subset of U but [R, M](sigma,tau) not subset of C-sigma,C-tau . (iv) Let U not subset of Z (R) and U not subset of C-sigma,C-tau . If aUb = a*U b = 0, then a = 0 or b = 0 |
