On Maps Preserving Zero Jordan Products

• Autores: Mikhail A. Chebotar, Wen-Fong Ke, Pjek-Hwee Lee, Ruibin Zhang
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 149, Nº 2, 2006, págs. 91-101
• Idioma: inglés
• DOI: 10.1007/s00605-005-0371-7
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• Resumen

  • Let R be a ring, A = M n (R) and ?: A ? A a surjective additive map preserving zero Jordan products, i.e. if x,y ? A are such that xy + yx = 0, then ?(x)?(y) + ?(y)?(x) = 0. In this paper, we show that if R contains and n = 4, then ? = ??, where ? = ?(1) is a central element of A and ?: A ? A is a Jordan homomorphism