@article{Lu2024, 
author = {Lan Lu and Yu Wang},
title = {A note on maps preserving products of matrices},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17039-17062},
keywords = {maps preserving products, Jordan isomorphism, division ring, matrix ring},
url = {https://www.sciopen.com/article/10.3934/math.2024827},
doi = {10.3934/math.2024827},
abstract = {Let    D be a division ring such that either char   (  D  )  ≠  2  ,  3 or    D is not a field and char   (  D  )  ≠  2. Let    R  =      M    n    (  D  ) be the matrix ring over    D, where    n  >  1. Let    m  ,  k be fixed invertible elements in    R. The main purpose of the paper is to give a description of a bijective additive map    f:    R  →  R, satisfying the identity    f  (  x  )  f  (  y  )  =  m for every    x  ,  y  ∈  R with    x  y  =  k, which gives a correct version of a result due to Catalano et al. in 2019.}
}