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Linear maps preserving Jacobi identity on the full matrix algebras

WU Xiaogui, ZHANG Jianhua   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2008-09-12 Revised:1900-01-01 Online:2009-01-24 Published:2010-04-15
  • Contact: WU Xiaogui

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Abstract: Let R be a 2torsionfree commutative prime ring with a unity, and Mn(R)(n≥4) be the algebra consisting of all n×n matrices over R. First, the definition of maps preserving Jacobi identity was given, and then their properties were investigated. The main purpose of this paper is to present a concrete form of such kind of maps.

Key words: matrix, Jacobi identity, linear preserver

CLC Number: 

  • O1771
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