  We correct some unfortunate mistakes that appeared in the article D.
Taghizadeh, M. Zahraei, A. Peperko and N. H. Aboutalebi, On the numerical
ranges of matrices in max algebra, Banach j. Math. Anal., 14 (2020), pp.
1773-1792 concerning certain notions of the numerical range in the max algebra
setting.To do this we also include a study of the charactristic max polynomial
and correspondingly the max $k-$spectrum and the $k-$tropical spectrum. We also
pose a nonresolved open questions.
