Commutativity preserving mappings on semiprime rings
We obtain a representation theorem for bijective additive mappings preserving commutativity in both directions on 2-torsion free unital centrally closed semiprime rings such that the ideal associated with the second Kaplansky polynomial is essential. The same methods also yield descriptions of Lie a...
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| Published in | Communications in algebra Vol. 25; no. 1; pp. 247 - 265 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Marcel Dekker, Inc
01.01.1997
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| Online Access | Get full text |
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| Summary: | We obtain a representation theorem for bijective additive mappings preserving commutativity in both directions on 2-torsion free unital centrally closed semiprime rings such that the ideal associated with the second Kaplansky polynomial is essential. The same methods also yield descriptions of Lie automorphisms and Lie derivations. |
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| ISSN: | 0092-7872 1532-4125 |
| DOI: | 10.1080/00927879708825851 |