Functions preserving rank-$k$ matrices of order $n$ over fields

Lizhu Hao, Xian Zhang
2005 Miskolc Mathematical Notes  
A. Let ¿ be an arbitrary field and n is an integer with n ≥ 2. For a fixed positive integer k satisfying k < n, we determine the general form of all functions preserving rank-k matrices of order n. This article generalizes the recent results of J. Kalinowski [1, 2] . Mathematics Subject Classification: 15A03
doi:10.18514/mmn.2005.100 fatcat:mka4yjfocjgshmjmjvxrrgm2vy