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

• Autores: Tsiu-Kwen Lee
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 2, 2004, págs. 309-320
• Idioma: inglés
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• Resumen

  • 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.