Additivity of Jordan maps on triangular algebras

Abstract

The aim of this article is to prove a result on the additivity of Jordan maps on triangular algebras. As a consequence the additivity of Jordan maps on upper triangular matrix algebras over a faithful commutative ring of 2-torsion free is determined.

Keywords:

• triangular algebras
• upper triangular matrix algebras
• Jordan maps
• additivity
• faithful rings

AMS Subject Classifications::

• 47D40
• 16W20

Acknowledgements

The authors express their sincere thanks to the referee for his/her careful reading of the manuscript. The valuable suggestions have clarified this article greatly.