Surjective linear transformations of tropical matrices preserving transitive closures
Weina Deng, Baomin Yu · Communications in Algebra · 2022
–In this paper we characterize those surjective linear transformations of tropical matrices preserving the set of all weak transitive closures MnW and the set of all strong transitive closures MnS, respectively. We illustrate that there exist non-surjective linear transformations that preserve MnW or MnS. Also, we consider the strongly linear preservers of MnW and MnS, respectively.