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Abstract
The main result describes a bijective additive map h between prime rings with nontrivial idempotents that satisfies h(x)h(y)h(z) = 0 whenever xy = yz = 0. The proof is based on the consideration of a multiadditive map satisfying a related condition.
ACKNOWLEDGMENT
The first author was supported by the MCYT through Project MTM2010-15223 and the Junta de Andalucía and fondos FEDER through projects FQM 336 and FQM 02467, and by a grant by the Junta de Andalucía (BOJA n. 12 de 17 de enero de 2008). The second author was supported by ARRS Grant P1-0288.
Notes
Communicated by E. Puczylowski.