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DECOMPOSITION OF JORDAN AUTOMORPHISMS OF TRIANGULAR MATRIX ALGEBRA OVER COMMUTATIVE RINGS

Published online by Cambridge University Press:  25 August 2010

XING TAO WANG  and
YUAN MIN LI
XING TAO WANG
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R. China e-mail: xingtao@hit.edu.cn
YUAN MIN LI
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R. China e-mail: xingtao@hit.edu.cn
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Abstract

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Let Tn+1(R) be the algebra of all upper triangular n+1 by n+1 matrices over a 2-torsionfree commutative ring R with identity. In this paper, we give a complete description of the Jordan automorphisms of Tn+1(R), proving that every Jordan automorphism of Tn+1(R) can be written in a unique way as a product of a graph automorphism, an inner automorphism and a diagonal automorphism for n ≥ 1.

Keywords

17C3017C5013C10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 529 - 536
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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