Chooi, Wai Leong and Kwa, Kiam Heong
(2020)
*Additive maps on rank K bivectors.*
Electronic Journal of Linear Algebra, 36.
pp. 847-856.
ISSN 1537-9582,

## Abstract

Let u and v be linear spaces over fields F and K, respectively, such that dim u = n >= 2 and vertical bar F vertical bar >= 3. Let Lambda(2) u be the second exterior power of u. Fixing an even integer k satisfying n-1/2 <= k <= n, it is shown that a map psi: Lambda(2) u -> Lambda(2) v satisfies psi(u + v) = psi(u) + psi(v) for all rank k bivectors u, v is an element of Lambda(2) u if and only if psi is an additive map. Examples showing the indispensability of the assumption on k are given.

Item Type: | Article |
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Funders: | FRGS Research Grant Scheme (FRGS/1/2019/STG06/UM/02/1) |

Uncontrolled Keywords: | Additive maps; Second exterior powers; Bivectors; Ranks; Alternate matrices |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science > Institute of Mathematical Sciences |

Depositing User: | Ms Zaharah Ramly |

Date Deposited: | 31 May 2023 06:22 |

Last Modified: | 31 May 2023 06:22 |

URI: | http://eprints.um.edu.my/id/eprint/37094 |

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