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主理想整环上对称矩阵的非结合代数自同构

ABBA Boubacar 唐孝敏

数学杂志2007,Vol.27Issue(1):10-14,5.
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

ABBA Boubacar 1唐孝敏2

作者信息

  • 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
  • 折叠

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/PID

Key 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)

数学杂志

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