Resumen de Posner's Theorem for (s, t)--Derivations and s--Centralizing Maps

Tsiu-Kwen Lee

• We give a characterization of mappings, which are additive modulo C, s--centralizing on Lie ideals in a prime ring with extended centroid C, and then prove Posner's theorem for (s, t)--derivations on Lie ideals. These results give natural generalizations concerning derivations and centralizing mappings in prime rings.