An Identity on Partial Generalized Automorphisms of Prime Rings

作者:Huang Shuliang*
来源:Rendiconti del Seminario Matematico della Universita di Padova, 2013, 129: 71-77.
DOI:10.4171/RSMUP/129-5

摘要

Let R be a prime ring with center Z(R), T : R -> R be a non-zero partial generalized automorphism of R, L a Lie ideal of R, s >= 0, t >= 0 and n >= 1 fixed integers, such that (u(s)(T(u) o u)u(t))(n) = 0 for all u is an element of L. If either Char(R) > n + 1 or Char(R) = 0, then L subset of Z(R).

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