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,
Full text not available from this repository.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 |
|---|---|
| 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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