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An involutive Jordan automorphism of triangular matrix algebra over commutative rings

WANG Xing-tao

哈尔滨工业大学学报(英文版)2005,Vol.12Issue(4):376-377,2.
哈尔滨工业大学学报(英文版)2005,Vol.12Issue(4):376-377,2.

An involutive Jordan automorphism of triangular matrix algebra over commutative rings

An involutive Jordan automorphism of triangular matrix algebra over commutative rings

WANG Xing-tao1

作者信息

  • 1. Dept. of Mathematics, Harbin Institute of Technology, Harbin 150001, China
  • 折叠

摘要

Abstract

Let Tn+1 (R) be upper natrix algebra of order n + 1 over a 2-torsion free commutative ring R with identity. In this paper, we find an automorphism, which is fixed by all orthogonal idempotents and is not an R-algebra automorphism, of Tn+1 (R). Furthermore we prove that this automorphism is an involutive Jordan automorphism of Tn+1 ( R ).

关键词

Jordan automorphism/matrix algebra/commutative ring

Key words

Jordan automorphism/matrix algebra/commutative ring

分类

数理科学

引用本文复制引用

WANG Xing-tao..An involutive Jordan automorphism of triangular matrix algebra over commutative rings[J].哈尔滨工业大学学报(英文版),2005,12(4):376-377,2.

哈尔滨工业大学学报(英文版)

1005-9113

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