### Abstract

We describe surjective linear maps preserving commutativity from (symmetric elements of) any algebra (with involution) onto (symmetric elements of) a prime algebra (with involution) not satisfying polynomial identities of low degree. Bijective commutativity preservers on skew elements of centrally closed prime algebras with involution of the first kind are also investigated.

Original language | English |
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Pages (from-to) | 1023-1040 |

Number of pages | 18 |

Journal | Royal Society of Edinburgh - Proceedings A |

Volume | 134 |

Issue number | 6 |

Publication status | Published - 01 Dec 2004 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Beidar, K. I., & Lin, Y. F. (2004). On surjective linear maps preserving commutativity.

*Royal Society of Edinburgh - Proceedings A*,*134*(6), 1023-1040.