Chooi, W.L. and Ng, W.S. (2010) On classical adjoint-commuting mappings between matrix algebras. Linear Algebra and its Applications, 432 (10). pp. 2589-2599.
Full text not available from this repository.Abstract
Let F be a field and let m and n be integers with m, n >= 3. Let M(n) denote the algebra of n x n matrices over F. In this note, we characterize mappings psi : M(n) -> M(m) that satisfy one of the following conditions: 1. vertical bar F vertical bar = 2 or vertical bar F vertical bar > n + 1, and psi (adj (A + alpha B)) = adj (psi (A) + alpha psi (B)) for all A, B is an element of M(n) and alpha is an element of F with psi (I(n)) not equal 0. 2. psi is surjective and psi (adj (A - B)) = adj (psi (A) - psi (B)) for every A, B is an element of M(n). Here, adj A denotes the classical adjoint of the matrix A, and I(n) is the identity matrix of order n. We give examples showing the indispensability of the assumption psi (I(n)) not equal 0 in our results. (C) 2009 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Subjects: | Q Science > Q Science (General) |
| Depositing User: | MR Faizal II H |
| Date Deposited: | 11 Nov 2015 03:15 |
| Last Modified: | 11 Nov 2015 03:15 |
| URI: | http://eprints.um.edu.my/id/eprint/14730 |
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