数学杂志2007,Vol.27Issue(1):10-14,5.
主理想整环上对称矩阵的非结合代数自同构
AUTOMORPHISM OF THE NON-ASSOCIATIVE ALGEBRA OF SYMMETRIC MATRICES OVER PID
摘要
Abstract
In this paper, we study the automorphism of a type of non-associative algebra. By using the fraction method, we obtain the forms of all automorphisms of the non-associate algebra consisting of symmtric matrices over a PID. The corresponding Jordan automorphisms are also characterized.关键词
非结合代数/自同构/对称矩阵/PIDKey words
non-associative algebra/automorphism/symmetric matrix/PID分类
数理科学引用本文复制引用
ABBA Boubacar,唐孝敏..主理想整环上对称矩阵的非结合代数自同构[J].数学杂志,2007,27(1):10-14,5.基金项目
Supported by the NSF of China (19871018) and the Found of Heilongjiang Education Committee (1055G033). (19871018)