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On Maps Determined by Zero Products |
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| Authors: | Hannes Bierwirth Mateja Grašič |
| Institution: | 1. Departamento de álgebra, Geometría y Topología , Universidad de Málaga , Málaga , Spain;2. Institute of Mathematics, Physics and Mechanics , Ljubljana , Slovenia |
| 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. |
| Keywords: | Functional identity Homomorphism Idempotent Multiadditive map Prime ring Zero product |