主理想整环上对称矩阵的非结合代数自同构(英文)  

AUTOMORPHISM OF THE NON-ASSOCIATIVE ALGEBRA OF SYMMETRIC MATRICES OVER PID

作　　者：ABBA Boubacar 唐孝敏[2] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001 [2]黑龙江大学数学系,黑龙江哈尔滨150080

出　　处：《数学杂志》2007年第1期10-14,共5页Journal of Mathematics

基　　金：Supported by the NSF of China (19871018) and the Found of Heilongjiang EducationCommittee (1055G033) .

摘　　要：本文研究了一类非结合代数的自同构.利用分式化方法,得到主理想整环上对称矩阵构成的非结合代数的所有自同构形式,并刻画了相应的Jordan自同构.In this paper, we study the automorphism of a type of non-associative algebra. By using the ffaction 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 PID 

分 类 号：O151.2[理学—数学]