Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (4): 590-597.

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Additive Maps Preserving {1, 2, T}-inverses

  

  1. 1. Department of Foundation Courses, Huai'an College of Information Technology2. College of Science, Nanjing University of Aeronautics and Astronautics3. Faculty of Mathematics and Physics, Huaiyin Institute of Technology
  • Received:2006-06-06 Online:2009-12-30 Published:2023-06-19
  • About author:RONG Jian-ying(1978-), female, native of Heze, Shandong, a lecturer of Huai'an College of Information Technology, M.S.D., engages in linear algebra.
  • Supported by:
     Supported by the NNSF of China(10371054)；

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Abstract: Let F be a field of characteristic not 2 and 3.Let f: Mmn(F)→Mmn(F) be an additive map preserving {1,2,T}-inverse, i.e. f(A)=f(A)f(B)Tf(A), f(B)= f(B)f(A)Tf(B) for any A,B∈Mmn(F) with A=ABTA, B=BATB. In this paper, we give the sufficient and necessary condition for f to be such a map.

Key words: additive map, preserving {1, 2, T}-inverse

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