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Abstract
Surjective maps which preserve commutativity relation on matrices over algebraically closed fields are classified. Unlike previous results on commutativity preservers, it is assumed that maps preserve commutativity only in one direction and have no additional structure like additivity. Our techniques combine graph theory, linear algebra and projective geometry.
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Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The work was partially supported by Ministry of Education, Science and Sport of Slovenia.