Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra |
| |
| Authors: | Dengyin Wang Haishan Pan Xuansheng Wang |
| |
| Affiliation: | 1.Department of Mathematics,China University of Mining and Technology,Xuzhou,People’s Republic of China |
| |
| Abstract: | Let P be an arbitrary parabolic subalgebra of a simple associative F-algebra. The ideals of P are determined completely; Each ideal of P is shown to be generated by one element; Every non-linear invertible map on P that preserves ideals is described in an explicit formula. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
